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Finding the Fourth Proportional to 124.66, 171.93 and 97.02

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Solution

The fourth proportional to 124.66, 171.93 and 97.02 is: 133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 171.93 = 97.02 : x
  2. Step 2: Convert to fraction form
    124.66/171.93 = 97.02/x
  3. Step 3: Cross multiply
    124.66x = 171.93 × 97.02
  4. Step 4: Simplify right side
    124.66x = 16,680.65
  5. Step 5: Solve for x
    x = 16,680.65/124.66
  6. Step 6: Final answer
    x = 133.81

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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.