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Finding the Fourth Proportional to 82.31, 123.56 and 39.06

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Solution

The fourth proportional to 82.31, 123.56 and 39.06 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 123.56 = 39.06 : x
  2. Step 2: Convert to fraction form
    82.31/123.56 = 39.06/x
  3. Step 3: Cross multiply
    82.31x = 123.56 × 39.06
  4. Step 4: Simplify right side
    82.31x = 4,826.25
  5. Step 5: Solve for x
    x = 4,826.25/82.31
  6. Step 6: Final answer
    x = 58.64

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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.