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Finding the Fourth Proportional to 218,115.57, 300,996.52 and 121,318.50

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Solution

The fourth proportional to 218,115.57, 300,996.52 and 121,318.50 is: 167,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,115.57 : 300,996.52 = 121,318.50 : x
  2. Step 2: Convert to fraction form
    218,115.57/300,996.52 = 121,318.50/x
  3. Step 3: Cross multiply
    218,115.57x = 300,996.52 × 121,318.50
  4. Step 4: Simplify right side
    218,115.57x = 36,516,446,311.62
  5. Step 5: Solve for x
    x = 36,516,446,311.62/218,115.57
  6. Step 6: Final answer
    x = 167,417.88

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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.