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Finding the Fourth Proportional to 81,541.68, 122,145.48 and 48,160.68

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Solution

The fourth proportional to 81,541.68, 122,145.48 and 48,160.68 is: 72,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,541.68 : 122,145.48 = 48,160.68 : x
  2. Step 2: Convert to fraction form
    81,541.68/122,145.48 = 48,160.68/x
  3. Step 3: Cross multiply
    81,541.68x = 122,145.48 × 48,160.68
  4. Step 4: Simplify right side
    81,541.68x = 5,882,609,375.73
  5. Step 5: Solve for x
    x = 5,882,609,375.73/81,541.68
  6. Step 6: Final answer
    x = 72,142.36

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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.