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Finding the Fourth Proportional to 74,871.52, 112,306.92 and 30,487.84

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Solution

The fourth proportional to 74,871.52, 112,306.92 and 30,487.84 is: 45,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871.52 : 112,306.92 = 30,487.84 : x
  2. Step 2: Convert to fraction form
    74,871.52/112,306.92 = 30,487.84/x
  3. Step 3: Cross multiply
    74,871.52x = 112,306.92 × 30,487.84
  4. Step 4: Simplify right side
    74,871.52x = 3,423,995,407.85
  5. Step 5: Solve for x
    x = 3,423,995,407.85/74,871.52
  6. Step 6: Final answer
    x = 45,731.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.