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Finding the Fourth Proportional to 109.78, 151.35 and 76.97

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Solution

The fourth proportional to 109.78, 151.35 and 76.97 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 151.35 = 76.97 : x
  2. Step 2: Convert to fraction form
    109.78/151.35 = 76.97/x
  3. Step 3: Cross multiply
    109.78x = 151.35 × 76.97
  4. Step 4: Simplify right side
    109.78x = 11,649.50
  5. Step 5: Solve for x
    x = 11,649.50/109.78
  6. Step 6: Final answer
    x = 106.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.