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Finding the Fourth Proportional to 198,812.97, 273,983.97 and 142,125.93

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Solution

The fourth proportional to 198,812.97, 273,983.97 and 142,125.93 is: 195,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,812.97 : 273,983.97 = 142,125.93 : x
  2. Step 2: Convert to fraction form
    198,812.97/273,983.97 = 142,125.93/x
  3. Step 3: Cross multiply
    198,812.97x = 273,983.97 × 142,125.93
  4. Step 4: Simplify right side
    198,812.97x = 38,940,226,541.34
  5. Step 5: Solve for x
    x = 38,940,226,541.34/198,812.97
  6. Step 6: Final answer
    x = 195,863.61

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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.