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Finding the Fourth Proportional to 101.71, 151.83 and 86.32

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Solution

The fourth proportional to 101.71, 151.83 and 86.32 is: 128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 151.83 = 86.32 : x
  2. Step 2: Convert to fraction form
    101.71/151.83 = 86.32/x
  3. Step 3: Cross multiply
    101.71x = 151.83 × 86.32
  4. Step 4: Simplify right side
    101.71x = 13,105.97
  5. Step 5: Solve for x
    x = 13,105.97/101.71
  6. Step 6: Final answer
    x = 128.86

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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.