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Finding the Fourth Proportional to 76,143.50, 114,215.25 and 20,739.50

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Solution

The fourth proportional to 76,143.50, 114,215.25 and 20,739.50 is: 31,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143.50 : 114,215.25 = 20,739.50 : x
  2. Step 2: Convert to fraction form
    76,143.50/114,215.25 = 20,739.50/x
  3. Step 3: Cross multiply
    76,143.50x = 114,215.25 × 20,739.50
  4. Step 4: Simplify right side
    76,143.50x = 2,368,767,177.38
  5. Step 5: Solve for x
    x = 2,368,767,177.38/76,143.50
  6. Step 6: Final answer
    x = 31,109.25

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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.