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Finding the Fourth Proportional to 130.92, 180.72 and 124.40

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Solution

The fourth proportional to 130.92, 180.72 and 124.40 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 180.72 = 124.40 : x
  2. Step 2: Convert to fraction form
    130.92/180.72 = 124.40/x
  3. Step 3: Cross multiply
    130.92x = 180.72 × 124.40
  4. Step 4: Simplify right side
    130.92x = 22,480.66
  5. Step 5: Solve for x
    x = 22,480.66/130.92
  6. Step 6: Final answer
    x = 171.71

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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.