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Finding the Fourth Proportional to 73,131, 100,920.78 and 39,597

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Solution

The fourth proportional to 73,131, 100,920.78 and 39,597 is: 54,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,131 : 100,920.78 = 39,597 : x
  2. Step 2: Convert to fraction form
    73,131/100,920.78 = 39,597/x
  3. Step 3: Cross multiply
    73,131x = 100,920.78 × 39,597
  4. Step 4: Simplify right side
    73,131x = 3,996,160,125.66
  5. Step 5: Solve for x
    x = 3,996,160,125.66/73,131
  6. Step 6: Final answer
    x = 54,643.86

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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.