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Finding the Fourth Proportional to 97.96, 147.17 and 77.91

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Solution

The fourth proportional to 97.96, 147.17 and 77.91 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.96 : 147.17 = 77.91 : x
  2. Step 2: Convert to fraction form
    97.96/147.17 = 77.91/x
  3. Step 3: Cross multiply
    97.96x = 147.17 × 77.91
  4. Step 4: Simplify right side
    97.96x = 11,466.05
  5. Step 5: Solve for x
    x = 11,466.05/97.96
  6. Step 6: Final answer
    x = 117.05

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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.