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Finding the Fourth Proportional to 69,874.16, 96,426.20 and 38,042.78

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Solution

The fourth proportional to 69,874.16, 96,426.20 and 38,042.78 is: 52,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,874.16 : 96,426.20 = 38,042.78 : x
  2. Step 2: Convert to fraction form
    69,874.16/96,426.20 = 38,042.78/x
  3. Step 3: Cross multiply
    69,874.16x = 96,426.20 × 38,042.78
  4. Step 4: Simplify right side
    69,874.16x = 3,668,320,522.62
  5. Step 5: Solve for x
    x = 3,668,320,522.62/69,874.16
  6. Step 6: Final answer
    x = 52,498.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.