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Finding the Fourth Proportional to 71,906.16, 99,230.99 and 40,077.10

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Solution

The fourth proportional to 71,906.16, 99,230.99 and 40,077.10 is: 55,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,906.16 : 99,230.99 = 40,077.10 : x
  2. Step 2: Convert to fraction form
    71,906.16/99,230.99 = 40,077.10/x
  3. Step 3: Cross multiply
    71,906.16x = 99,230.99 × 40,077.10
  4. Step 4: Simplify right side
    71,906.16x = 3,976,890,568.43
  5. Step 5: Solve for x
    x = 3,976,890,568.43/71,906.16
  6. Step 6: Final answer
    x = 55,306.68

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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.