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Finding the Fourth Proportional to 129.86, 177.82 and 124.40

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Solution

The fourth proportional to 129.86, 177.82 and 124.40 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.86 : 177.82 = 124.40 : x
  2. Step 2: Convert to fraction form
    129.86/177.82 = 124.40/x
  3. Step 3: Cross multiply
    129.86x = 177.82 × 124.40
  4. Step 4: Simplify right side
    129.86x = 22,120.81
  5. Step 5: Solve for x
    x = 22,120.81/129.86
  6. Step 6: Final answer
    x = 170.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.