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Finding the Fourth Proportional to 225,686.80, 311,306.16 and 145,218.88

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Solution

The fourth proportional to 225,686.80, 311,306.16 and 145,218.88 is: 200,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.80 : 311,306.16 = 145,218.88 : x
  2. Step 2: Convert to fraction form
    225,686.80/311,306.16 = 145,218.88/x
  3. Step 3: Cross multiply
    225,686.80x = 311,306.16 × 145,218.88
  4. Step 4: Simplify right side
    225,686.80x = 45,207,531,892.30
  5. Step 5: Solve for x
    x = 45,207,531,892.30/225,686.80
  6. Step 6: Final answer
    x = 200,310.93

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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.