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Finding the Fourth Proportional to 148,199, 204,514.63 and 81,131

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Solution

The fourth proportional to 148,199, 204,514.63 and 81,131 is: 111,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,199 : 204,514.63 = 81,131 : x
  2. Step 2: Convert to fraction form
    148,199/204,514.63 = 81,131/x
  3. Step 3: Cross multiply
    148,199x = 204,514.63 × 81,131
  4. Step 4: Simplify right side
    148,199x = 16,592,476,446.53
  5. Step 5: Solve for x
    x = 16,592,476,446.53/148,199
  6. Step 6: Final answer
    x = 111,960.79

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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.