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Finding the Fourth Proportional to 124.76, 187.12 and 76.96

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Solution

The fourth proportional to 124.76, 187.12 and 76.96 is: 115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 187.12 = 76.96 : x
  2. Step 2: Convert to fraction form
    124.76/187.12 = 76.96/x
  3. Step 3: Cross multiply
    124.76x = 187.12 × 76.96
  4. Step 4: Simplify right side
    124.76x = 14,400.76
  5. Step 5: Solve for x
    x = 14,400.76/124.76
  6. Step 6: Final answer
    x = 115.43

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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.