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Finding the Fourth Proportional to 130.06, 195.11 and 116.59

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Solution

The fourth proportional to 130.06, 195.11 and 116.59 is: 174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 195.11 = 116.59 : x
  2. Step 2: Convert to fraction form
    130.06/195.11 = 116.59/x
  3. Step 3: Cross multiply
    130.06x = 195.11 × 116.59
  4. Step 4: Simplify right side
    130.06x = 22,747.61
  5. Step 5: Solve for x
    x = 22,747.61/130.06
  6. Step 6: Final answer
    x = 174.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.