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Finding the Fourth Proportional to 143,920.29, 198,691.17 and 99,797.57

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Solution

The fourth proportional to 143,920.29, 198,691.17 and 99,797.57 is: 137,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,920.29 : 198,691.17 = 99,797.57 : x
  2. Step 2: Convert to fraction form
    143,920.29/198,691.17 = 99,797.57/x
  3. Step 3: Cross multiply
    143,920.29x = 198,691.17 × 99,797.57
  4. Step 4: Simplify right side
    143,920.29x = 19,828,895,946.46
  5. Step 5: Solve for x
    x = 19,828,895,946.46/143,920.29
  6. Step 6: Final answer
    x = 137,776.93

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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.