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Finding the Fourth Proportional to 107.39, 148.08 and 72.42

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Solution

The fourth proportional to 107.39, 148.08 and 72.42 is: 99.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.39 : 148.08 = 72.42 : x
  2. Step 2: Convert to fraction form
    107.39/148.08 = 72.42/x
  3. Step 3: Cross multiply
    107.39x = 148.08 × 72.42
  4. Step 4: Simplify right side
    107.39x = 10,723.95
  5. Step 5: Solve for x
    x = 10,723.95/107.39
  6. Step 6: Final answer
    x = 99.86

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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.