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Finding the Fourth Proportional to 148,697.18, 205,195.11 and 80,712.62

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Solution

The fourth proportional to 148,697.18, 205,195.11 and 80,712.62 is: 111,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,697.18 : 205,195.11 = 80,712.62 : x
  2. Step 2: Convert to fraction form
    148,697.18/205,195.11 = 80,712.62/x
  3. Step 3: Cross multiply
    148,697.18x = 205,195.11 × 80,712.62
  4. Step 4: Simplify right side
    148,697.18x = 16,561,834,939.29
  5. Step 5: Solve for x
    x = 16,561,834,939.29/148,697.18
  6. Step 6: Final answer
    x = 111,379.62

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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.