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Finding the Fourth Proportional to 62,265, 85,925.70 and 39,909

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Solution

The fourth proportional to 62,265, 85,925.70 and 39,909 is: 55,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,265 : 85,925.70 = 39,909 : x
  2. Step 2: Convert to fraction form
    62,265/85,925.70 = 39,909/x
  3. Step 3: Cross multiply
    62,265x = 85,925.70 × 39,909
  4. Step 4: Simplify right side
    62,265x = 3,429,208,761.30
  5. Step 5: Solve for x
    x = 3,429,208,761.30/62,265
  6. Step 6: Final answer
    x = 55,074.42

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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.