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Finding the Fourth Proportional to 132,915.97, 198,767.91 and 99,205.76

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Solution

The fourth proportional to 132,915.97, 198,767.91 and 99,205.76 is: 148,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,915.97 : 198,767.91 = 99,205.76 : x
  2. Step 2: Convert to fraction form
    132,915.97/198,767.91 = 99,205.76/x
  3. Step 3: Cross multiply
    132,915.97x = 198,767.91 × 99,205.76
  4. Step 4: Simplify right side
    132,915.97x = 19,718,921,886.07
  5. Step 5: Solve for x
    x = 19,718,921,886.07/132,915.97
  6. Step 6: Final answer
    x = 148,356.30

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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.