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Finding the Fourth Proportional to 71,982, 99,335.25 and 40,152.92

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Solution

The fourth proportional to 71,982, 99,335.25 and 40,152.92 is: 55,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982 : 99,335.25 = 40,152.92 : x
  2. Step 2: Convert to fraction form
    71,982/99,335.25 = 40,152.92/x
  3. Step 3: Cross multiply
    71,982x = 99,335.25 × 40,152.92
  4. Step 4: Simplify right side
    71,982x = 3,988,599,849.75
  5. Step 5: Solve for x
    x = 3,988,599,849.75/71,982
  6. Step 6: Final answer
    x = 55,411.07

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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.