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Finding the Fourth Proportional to 218,115.33, 300,972.96 and 121,294.95

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Solution

The fourth proportional to 218,115.33, 300,972.96 and 121,294.95 is: 167,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,115.33 : 300,972.96 = 121,294.95 : x
  2. Step 2: Convert to fraction form
    218,115.33/300,972.96 = 121,294.95/x
  3. Step 3: Cross multiply
    218,115.33x = 300,972.96 × 121,294.95
  4. Step 4: Simplify right side
    218,115.33x = 36,506,500,134.55
  5. Step 5: Solve for x
    x = 36,506,500,134.55/218,115.33
  6. Step 6: Final answer
    x = 167,372.46

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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.