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Finding the Fourth Proportional to 130.62, 195.70 and 79.28

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Solution

The fourth proportional to 130.62, 195.70 and 79.28 is: 118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 195.70 = 79.28 : x
  2. Step 2: Convert to fraction form
    130.62/195.70 = 79.28/x
  3. Step 3: Cross multiply
    130.62x = 195.70 × 79.28
  4. Step 4: Simplify right side
    130.62x = 15,515.10
  5. Step 5: Solve for x
    x = 15,515.10/130.62
  6. Step 6: Final answer
    x = 118.78

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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.