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Finding the Fourth Proportional to 82.60, 124.45 and 76.04

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Solution

The fourth proportional to 82.60, 124.45 and 76.04 is: 114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.60 : 124.45 = 76.04 : x
  2. Step 2: Convert to fraction form
    82.60/124.45 = 76.04/x
  3. Step 3: Cross multiply
    82.60x = 124.45 × 76.04
  4. Step 4: Simplify right side
    82.60x = 9,463.18
  5. Step 5: Solve for x
    x = 9,463.18/82.60
  6. Step 6: Final answer
    x = 114.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.