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Finding the Fourth Proportional to 74,861.30, 103,306.92 and 40,868.47

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Solution

The fourth proportional to 74,861.30, 103,306.92 and 40,868.47 is: 56,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,861.30 : 103,306.92 = 40,868.47 : x
  2. Step 2: Convert to fraction form
    74,861.30/103,306.92 = 40,868.47/x
  3. Step 3: Cross multiply
    74,861.30x = 103,306.92 × 40,868.47
  4. Step 4: Simplify right side
    74,861.30x = 4,221,995,760.81
  5. Step 5: Solve for x
    x = 4,221,995,760.81/74,861.30
  6. Step 6: Final answer
    x = 56,397.57

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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.