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Finding the Fourth Proportional to 101.58, 140.13 and 72.42

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Solution

The fourth proportional to 101.58, 140.13 and 72.42 is: 99.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.58 : 140.13 = 72.42 : x
  2. Step 2: Convert to fraction form
    101.58/140.13 = 72.42/x
  3. Step 3: Cross multiply
    101.58x = 140.13 × 72.42
  4. Step 4: Simplify right side
    101.58x = 10,148.21
  5. Step 5: Solve for x
    x = 10,148.21/101.58
  6. Step 6: Final answer
    x = 99.90

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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.