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Finding the Fourth Proportional to 148,991.86, 205,612.80 and 81,013.42

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Solution

The fourth proportional to 148,991.86, 205,612.80 and 81,013.42 is: 111,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,991.86 : 205,612.80 = 81,013.42 : x
  2. Step 2: Convert to fraction form
    148,991.86/205,612.80 = 81,013.42/x
  3. Step 3: Cross multiply
    148,991.86x = 205,612.80 × 81,013.42
  4. Step 4: Simplify right side
    148,991.86x = 16,657,396,123.78
  5. Step 5: Solve for x
    x = 16,657,396,123.78/148,991.86
  6. Step 6: Final answer
    x = 111,800.71

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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.