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Finding the Fourth Proportional to 82.57, 123.67 and 78.07

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Solution

The fourth proportional to 82.57, 123.67 and 78.07 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 123.67 = 78.07 : x
  2. Step 2: Convert to fraction form
    82.57/123.67 = 78.07/x
  3. Step 3: Cross multiply
    82.57x = 123.67 × 78.07
  4. Step 4: Simplify right side
    82.57x = 9,654.92
  5. Step 5: Solve for x
    x = 9,654.92/82.57
  6. Step 6: Final answer
    x = 116.93

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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.