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Finding the Fourth Proportional to 218,865.80, 328,043.55 and 100,549.10

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Solution

The fourth proportional to 218,865.80, 328,043.55 and 100,549.10 is: 150,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,865.80 : 328,043.55 = 100,549.10 : x
  2. Step 2: Convert to fraction form
    218,865.80/328,043.55 = 100,549.10/x
  3. Step 3: Cross multiply
    218,865.80x = 328,043.55 × 100,549.10
  4. Step 4: Simplify right side
    218,865.80x = 32,984,483,713.31
  5. Step 5: Solve for x
    x = 32,984,483,713.31/218,865.80
  6. Step 6: Final answer
    x = 150,706.43

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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.