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Finding the Fourth Proportional to 97.56, 145.67 and 86.20

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Solution

The fourth proportional to 97.56, 145.67 and 86.20 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 145.67 = 86.20 : x
  2. Step 2: Convert to fraction form
    97.56/145.67 = 86.20/x
  3. Step 3: Cross multiply
    97.56x = 145.67 × 86.20
  4. Step 4: Simplify right side
    97.56x = 12,556.75
  5. Step 5: Solve for x
    x = 12,556.75/97.56
  6. Step 6: Final answer
    x = 128.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.