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Finding the Fourth Proportional to 81,658.42, 112,660.17 and 51,446.44

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Solution

The fourth proportional to 81,658.42, 112,660.17 and 51,446.44 is: 70,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.42 : 112,660.17 = 51,446.44 : x
  2. Step 2: Convert to fraction form
    81,658.42/112,660.17 = 51,446.44/x
  3. Step 3: Cross multiply
    81,658.42x = 112,660.17 × 51,446.44
  4. Step 4: Simplify right side
    81,658.42x = 5,795,964,676.29
  5. Step 5: Solve for x
    x = 5,795,964,676.29/81,658.42
  6. Step 6: Final answer
    x = 70,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.