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Finding the Fourth Proportional to 106,721.80, 160,082.70 and 89,355.40

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Solution

The fourth proportional to 106,721.80, 160,082.70 and 89,355.40 is: 134,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,721.80 : 160,082.70 = 89,355.40 : x
  2. Step 2: Convert to fraction form
    106,721.80/160,082.70 = 89,355.40/x
  3. Step 3: Cross multiply
    106,721.80x = 160,082.70 × 89,355.40
  4. Step 4: Simplify right side
    106,721.80x = 14,304,253,691.58
  5. Step 5: Solve for x
    x = 14,304,253,691.58/106,721.80
  6. Step 6: Final answer
    x = 134,033.10

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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.