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Finding the Fourth Proportional to 50,678.31, 76,017.50 and 13,742.31

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Solution

The fourth proportional to 50,678.31, 76,017.50 and 13,742.31 is: 20,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.31 : 76,017.50 = 13,742.31 : x
  2. Step 2: Convert to fraction form
    50,678.31/76,017.50 = 13,742.31/x
  3. Step 3: Cross multiply
    50,678.31x = 76,017.50 × 13,742.31
  4. Step 4: Simplify right side
    50,678.31x = 1,044,656,050.43
  5. Step 5: Solve for x
    x = 1,044,656,050.43/50,678.31
  6. Step 6: Final answer
    x = 20,613.47

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.