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Finding the Fourth Proportional to 149,711.80, 224,826.90 and 145,046.20

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Solution

The fourth proportional to 149,711.80, 224,826.90 and 145,046.20 is: 217,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,711.80 : 224,826.90 = 145,046.20 : x
  2. Step 2: Convert to fraction form
    149,711.80/224,826.90 = 145,046.20/x
  3. Step 3: Cross multiply
    149,711.80x = 224,826.90 × 145,046.20
  4. Step 4: Simplify right side
    149,711.80x = 32,610,287,502.78
  5. Step 5: Solve for x
    x = 32,610,287,502.78/149,711.80
  6. Step 6: Final answer
    x = 217,820.42

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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.