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Finding the Fourth Proportional to 149,385.20, 224,077.80 and 126,834.80

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Solution

The fourth proportional to 149,385.20, 224,077.80 and 126,834.80 is: 190,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385.20 : 224,077.80 = 126,834.80 : x
  2. Step 2: Convert to fraction form
    149,385.20/224,077.80 = 126,834.80/x
  3. Step 3: Cross multiply
    149,385.20x = 224,077.80 × 126,834.80
  4. Step 4: Simplify right side
    149,385.20x = 28,420,862,947.44
  5. Step 5: Solve for x
    x = 28,420,862,947.44/149,385.20
  6. Step 6: Final answer
    x = 190,252.20

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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.