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Finding the Fourth Proportional to 72,932, 100,646.25 and 39,398

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Solution

The fourth proportional to 72,932, 100,646.25 and 39,398 is: 54,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932 : 100,646.25 = 39,398 : x
  2. Step 2: Convert to fraction form
    72,932/100,646.25 = 39,398/x
  3. Step 3: Cross multiply
    72,932x = 100,646.25 × 39,398
  4. Step 4: Simplify right side
    72,932x = 3,965,260,957.50
  5. Step 5: Solve for x
    x = 3,965,260,957.50/72,932
  6. Step 6: Final answer
    x = 54,369.29

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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.