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Finding the Fourth Proportional to 123,871.30, 185,508.78 and 70,432.55

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Solution

The fourth proportional to 123,871.30, 185,508.78 and 70,432.55 is: 105,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.30 : 185,508.78 = 70,432.55 : x
  2. Step 2: Convert to fraction form
    123,871.30/185,508.78 = 70,432.55/x
  3. Step 3: Cross multiply
    123,871.30x = 185,508.78 × 70,432.55
  4. Step 4: Simplify right side
    123,871.30x = 13,065,856,422.79
  5. Step 5: Solve for x
    x = 13,065,856,422.79/123,871.30
  6. Step 6: Final answer
    x = 105,479.29

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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.