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Finding the Fourth Proportional to 218,116.63, 327,174.96 and 68,356.90

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Solution

The fourth proportional to 218,116.63, 327,174.96 and 68,356.90 is: 102,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,116.63 : 327,174.96 = 68,356.90 : x
  2. Step 2: Convert to fraction form
    218,116.63/327,174.96 = 68,356.90/x
  3. Step 3: Cross multiply
    218,116.63x = 327,174.96 × 68,356.90
  4. Step 4: Simplify right side
    218,116.63x = 22,364,665,461.63
  5. Step 5: Solve for x
    x = 22,364,665,461.63/218,116.63
  6. Step 6: Final answer
    x = 102,535.35

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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.