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Finding the Fourth Proportional to 148,763.92, 205,294.20 and 80,780.56

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Solution

The fourth proportional to 148,763.92, 205,294.20 and 80,780.56 is: 111,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,763.92 : 205,294.20 = 80,780.56 : x
  2. Step 2: Convert to fraction form
    148,763.92/205,294.20 = 80,780.56/x
  3. Step 3: Cross multiply
    148,763.92x = 205,294.20 × 80,780.56
  4. Step 4: Simplify right side
    148,763.92x = 16,583,780,440.75
  5. Step 5: Solve for x
    x = 16,583,780,440.75/148,763.92
  6. Step 6: Final answer
    x = 111,477.17

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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.