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Finding the Fourth Proportional to 218,557.64, 327,641.96 and 85,407.62

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Solution

The fourth proportional to 218,557.64, 327,641.96 and 85,407.62 is: 128,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,557.64 : 327,641.96 = 85,407.62 : x
  2. Step 2: Convert to fraction form
    218,557.64/327,641.96 = 85,407.62/x
  3. Step 3: Cross multiply
    218,557.64x = 327,641.96 × 85,407.62
  4. Step 4: Simplify right side
    218,557.64x = 27,983,118,591.04
  5. Step 5: Solve for x
    x = 27,983,118,591.04/218,557.64
  6. Step 6: Final answer
    x = 128,035.42

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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.