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Finding the Fourth Proportional to 132,480.88, 198,721.32 and 77,038

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Solution

The fourth proportional to 132,480.88, 198,721.32 and 77,038 is: 115,557

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480.88 : 198,721.32 = 77,038 : x
  2. Step 2: Convert to fraction form
    132,480.88/198,721.32 = 77,038/x
  3. Step 3: Cross multiply
    132,480.88x = 198,721.32 × 77,038
  4. Step 4: Simplify right side
    132,480.88x = 15,309,093,050.16
  5. Step 5: Solve for x
    x = 15,309,093,050.16/132,480.88
  6. Step 6: Final answer
    x = 115,557

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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.