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Finding the Fourth Proportional to 78.68, 118.20 and 42.59

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Solution

The fourth proportional to 78.68, 118.20 and 42.59 is: 63.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 118.20 = 42.59 : x
  2. Step 2: Convert to fraction form
    78.68/118.20 = 42.59/x
  3. Step 3: Cross multiply
    78.68x = 118.20 × 42.59
  4. Step 4: Simplify right side
    78.68x = 5,034.14
  5. Step 5: Solve for x
    x = 5,034.14/78.68
  6. Step 6: Final answer
    x = 63.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.