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Finding the Fourth Proportional to 101.71, 140.07 and 87.89

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Solution

The fourth proportional to 101.71, 140.07 and 87.89 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 140.07 = 87.89 : x
  2. Step 2: Convert to fraction form
    101.71/140.07 = 87.89/x
  3. Step 3: Cross multiply
    101.71x = 140.07 × 87.89
  4. Step 4: Simplify right side
    101.71x = 12,309.89
  5. Step 5: Solve for x
    x = 12,309.89/101.71
  6. Step 6: Final answer
    x = 121.03

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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.