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Finding the Fourth Proportional to 124.53, 171.72 and 91.77

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Solution

The fourth proportional to 124.53, 171.72 and 91.77 is: 126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.53 : 171.72 = 91.77 : x
  2. Step 2: Convert to fraction form
    124.53/171.72 = 91.77/x
  3. Step 3: Cross multiply
    124.53x = 171.72 × 91.77
  4. Step 4: Simplify right side
    124.53x = 15,758.74
  5. Step 5: Solve for x
    x = 15,758.74/124.53
  6. Step 6: Final answer
    x = 126.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.