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Finding the Fourth Proportional to 51,143, 70,609.66 and 39,184.12

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Solution

The fourth proportional to 51,143, 70,609.66 and 39,184.12 is: 54,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,143 : 70,609.66 = 39,184.12 : x
  2. Step 2: Convert to fraction form
    51,143/70,609.66 = 39,184.12/x
  3. Step 3: Cross multiply
    51,143x = 70,609.66 × 39,184.12
  4. Step 4: Simplify right side
    51,143x = 2,766,777,390.60
  5. Step 5: Solve for x
    x = 2,766,777,390.60/51,143
  6. Step 6: Final answer
    x = 54,098.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.