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Finding the Fourth Proportional to 129.56, 177.80 and 116.13

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Solution

The fourth proportional to 129.56, 177.80 and 116.13 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.56 : 177.80 = 116.13 : x
  2. Step 2: Convert to fraction form
    129.56/177.80 = 116.13/x
  3. Step 3: Cross multiply
    129.56x = 177.80 × 116.13
  4. Step 4: Simplify right side
    129.56x = 20,647.33
  5. Step 5: Solve for x
    x = 20,647.33/129.56
  6. Step 6: Final answer
    x = 159.37

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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.