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Finding the Fourth Proportional to 148,781.76, 205,318.17 and 80,798.19

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Solution

The fourth proportional to 148,781.76, 205,318.17 and 80,798.19 is: 111,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,781.76 : 205,318.17 = 80,798.19 : x
  2. Step 2: Convert to fraction form
    148,781.76/205,318.17 = 80,798.19/x
  3. Step 3: Cross multiply
    148,781.76x = 205,318.17 × 80,798.19
  4. Step 4: Simplify right side
    148,781.76x = 16,589,336,510.11
  5. Step 5: Solve for x
    x = 16,589,336,510.11/148,781.76
  6. Step 6: Final answer
    x = 111,501.14

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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.