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Finding the Fourth Proportional to 130.78, 195.99 and 76.69

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Solution

The fourth proportional to 130.78, 195.99 and 76.69 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 195.99 = 76.69 : x
  2. Step 2: Convert to fraction form
    130.78/195.99 = 76.69/x
  3. Step 3: Cross multiply
    130.78x = 195.99 × 76.69
  4. Step 4: Simplify right side
    130.78x = 15,030.47
  5. Step 5: Solve for x
    x = 15,030.47/130.78
  6. Step 6: Final answer
    x = 114.93

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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.