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Finding the Fourth Proportional to 143,950.78, 198,691.61 and 83,540.89

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Solution

The fourth proportional to 143,950.78, 198,691.61 and 83,540.89 is: 115,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,950.78 : 198,691.61 = 83,540.89 : x
  2. Step 2: Convert to fraction form
    143,950.78/198,691.61 = 83,540.89/x
  3. Step 3: Cross multiply
    143,950.78x = 198,691.61 × 83,540.89
  4. Step 4: Simplify right side
    143,950.78x = 16,598,873,934.93
  5. Step 5: Solve for x
    x = 16,598,873,934.93/143,950.78
  6. Step 6: Final answer
    x = 115,309.37

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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.