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Finding the Fourth Proportional to 218,251.88, 327,267.08 and 99,821.74

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Solution

The fourth proportional to 218,251.88, 327,267.08 and 99,821.74 is: 149,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,251.88 : 327,267.08 = 99,821.74 : x
  2. Step 2: Convert to fraction form
    218,251.88/327,267.08 = 99,821.74/x
  3. Step 3: Cross multiply
    218,251.88x = 327,267.08 × 99,821.74
  4. Step 4: Simplify right side
    218,251.88x = 32,668,369,370.32
  5. Step 5: Solve for x
    x = 32,668,369,370.32/218,251.88
  6. Step 6: Final answer
    x = 149,681.96

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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.