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Finding the Fourth Proportional to 129,874.20, 194,957.10 and 100,422.60

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Solution

The fourth proportional to 129,874.20, 194,957.10 and 100,422.60 is: 150,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,874.20 : 194,957.10 = 100,422.60 : x
  2. Step 2: Convert to fraction form
    129,874.20/194,957.10 = 100,422.60/x
  3. Step 3: Cross multiply
    129,874.20x = 194,957.10 × 100,422.60
  4. Step 4: Simplify right side
    129,874.20x = 19,578,098,870.46
  5. Step 5: Solve for x
    x = 19,578,098,870.46/129,874.20
  6. Step 6: Final answer
    x = 150,746.64

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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.