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Finding the Fourth Proportional to 148,103.70, 204,382.66 and 80,120.66

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Solution

The fourth proportional to 148,103.70, 204,382.66 and 80,120.66 is: 110,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,103.70 : 204,382.66 = 80,120.66 : x
  2. Step 2: Convert to fraction form
    148,103.70/204,382.66 = 80,120.66/x
  3. Step 3: Cross multiply
    148,103.70x = 204,382.66 × 80,120.66
  4. Step 4: Simplify right side
    148,103.70x = 16,375,272,189.24
  5. Step 5: Solve for x
    x = 16,375,272,189.24/148,103.70
  6. Step 6: Final answer
    x = 110,566.26

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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.