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Finding the Fourth Proportional to 218,140.20, 327,207.87 and 85,113.90

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Solution

The fourth proportional to 218,140.20, 327,207.87 and 85,113.90 is: 127,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,140.20 : 327,207.87 = 85,113.90 : x
  2. Step 2: Convert to fraction form
    218,140.20/327,207.87 = 85,113.90/x
  3. Step 3: Cross multiply
    218,140.20x = 327,207.87 × 85,113.90
  4. Step 4: Simplify right side
    218,140.20x = 27,849,938,957.20
  5. Step 5: Solve for x
    x = 27,849,938,957.20/218,140.20
  6. Step 6: Final answer
    x = 127,669.91

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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.