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Finding the Fourth Proportional to 72,347.31, 99,839.99 and 40,082.61

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Solution

The fourth proportional to 72,347.31, 99,839.99 and 40,082.61 is: 55,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,347.31 : 99,839.99 = 40,082.61 : x
  2. Step 2: Convert to fraction form
    72,347.31/99,839.99 = 40,082.61/x
  3. Step 3: Cross multiply
    72,347.31x = 99,839.99 × 40,082.61
  4. Step 4: Simplify right side
    72,347.31x = 4,001,847,381.57
  5. Step 5: Solve for x
    x = 4,001,847,381.57/72,347.31
  6. Step 6: Final answer
    x = 55,314.39

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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.