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Finding the Fourth Proportional to 81,655.56, 122,318.10 and 74,851.56

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Solution

The fourth proportional to 81,655.56, 122,318.10 and 74,851.56 is: 112,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,655.56 : 122,318.10 = 74,851.56 : x
  2. Step 2: Convert to fraction form
    81,655.56/122,318.10 = 74,851.56/x
  3. Step 3: Cross multiply
    81,655.56x = 122,318.10 × 74,851.56
  4. Step 4: Simplify right side
    81,655.56x = 9,155,700,601.24
  5. Step 5: Solve for x
    x = 9,155,700,601.24/81,655.56
  6. Step 6: Final answer
    x = 112,125.87

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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.