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Finding the Fourth Proportional to 81,658.27, 122,439.72 and 31,679.97

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Solution

The fourth proportional to 81,658.27, 122,439.72 and 31,679.97 is: 47,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.27 : 122,439.72 = 31,679.97 : x
  2. Step 2: Convert to fraction form
    81,658.27/122,439.72 = 31,679.97/x
  3. Step 3: Cross multiply
    81,658.27x = 122,439.72 × 31,679.97
  4. Step 4: Simplify right side
    81,658.27x = 3,878,885,885.81
  5. Step 5: Solve for x
    x = 3,878,885,885.81/81,658.27
  6. Step 6: Final answer
    x = 47,501.45

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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.