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Finding the Fourth Proportional to 81.61, 122.31 and 58.76

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Solution

The fourth proportional to 81.61, 122.31 and 58.76 is: 88.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.61 : 122.31 = 58.76 : x
  2. Step 2: Convert to fraction form
    81.61/122.31 = 58.76/x
  3. Step 3: Cross multiply
    81.61x = 122.31 × 58.76
  4. Step 4: Simplify right side
    81.61x = 7,186.78
  5. Step 5: Solve for x
    x = 7,186.78/81.61
  6. Step 6: Final answer
    x = 88.07

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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.