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Finding the Fourth Proportional to 71,685.71, 107,550.42 and 36,649.97

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Solution

The fourth proportional to 71,685.71, 107,550.42 and 36,649.97 is: 54,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,685.71 : 107,550.42 = 36,649.97 : x
  2. Step 2: Convert to fraction form
    71,685.71/107,550.42 = 36,649.97/x
  3. Step 3: Cross multiply
    71,685.71x = 107,550.42 × 36,649.97
  4. Step 4: Simplify right side
    71,685.71x = 3,941,719,128.74
  5. Step 5: Solve for x
    x = 3,941,719,128.74/71,685.71
  6. Step 6: Final answer
    x = 54,986.12

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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.