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Finding the Fourth Proportional to 101.45, 140.01 and 87.58

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Solution

The fourth proportional to 101.45, 140.01 and 87.58 is: 120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 140.01 = 87.58 : x
  2. Step 2: Convert to fraction form
    101.45/140.01 = 87.58/x
  3. Step 3: Cross multiply
    101.45x = 140.01 × 87.58
  4. Step 4: Simplify right side
    101.45x = 12,261.38
  5. Step 5: Solve for x
    x = 12,261.38/101.45
  6. Step 6: Final answer
    x = 120.87

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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.