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Finding the Fourth Proportional to 208,517.70, 287,785.16 and 132,043.78

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Solution

The fourth proportional to 208,517.70, 287,785.16 and 132,043.78 is: 182,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.70 : 287,785.16 = 132,043.78 : x
  2. Step 2: Convert to fraction form
    208,517.70/287,785.16 = 132,043.78/x
  3. Step 3: Cross multiply
    208,517.70x = 287,785.16 × 132,043.78
  4. Step 4: Simplify right side
    208,517.70x = 38,000,240,354.30
  5. Step 5: Solve for x
    x = 38,000,240,354.30/208,517.70
  6. Step 6: Final answer
    x = 182,239.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.