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Finding the Fourth Proportional to 218,932.80, 328,144.05 and 100,616.10

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Solution

The fourth proportional to 218,932.80, 328,144.05 and 100,616.10 is: 150,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932.80 : 328,144.05 = 100,616.10 : x
  2. Step 2: Convert to fraction form
    218,932.80/328,144.05 = 100,616.10/x
  3. Step 3: Cross multiply
    218,932.80x = 328,144.05 × 100,616.10
  4. Step 4: Simplify right side
    218,932.80x = 33,016,574,549.21
  5. Step 5: Solve for x
    x = 33,016,574,549.21/218,932.80
  6. Step 6: Final answer
    x = 150,806.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.