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Finding the Fourth Proportional to 97.52, 146.22 and 78.39

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Solution

The fourth proportional to 97.52, 146.22 and 78.39 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.52 : 146.22 = 78.39 : x
  2. Step 2: Convert to fraction form
    97.52/146.22 = 78.39/x
  3. Step 3: Cross multiply
    97.52x = 146.22 × 78.39
  4. Step 4: Simplify right side
    97.52x = 11,462.19
  5. Step 5: Solve for x
    x = 11,462.19/97.52
  6. Step 6: Final answer
    x = 117.54

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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.