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Finding the Fourth Proportional to 55,861.31, 83,774.16 and 18,414.40

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Solution

The fourth proportional to 55,861.31, 83,774.16 and 18,414.40 is: 27,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861.31 : 83,774.16 = 18,414.40 : x
  2. Step 2: Convert to fraction form
    55,861.31/83,774.16 = 18,414.40/x
  3. Step 3: Cross multiply
    55,861.31x = 83,774.16 × 18,414.40
  4. Step 4: Simplify right side
    55,861.31x = 1,542,650,799.83
  5. Step 5: Solve for x
    x = 1,542,650,799.83/55,861.31
  6. Step 6: Final answer
    x = 27,615.73

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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.