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Finding the Fourth Proportional to 78.95, 109.08 and 60.59

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Solution

The fourth proportional to 78.95, 109.08 and 60.59 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.95 : 109.08 = 60.59 : x
  2. Step 2: Convert to fraction form
    78.95/109.08 = 60.59/x
  3. Step 3: Cross multiply
    78.95x = 109.08 × 60.59
  4. Step 4: Simplify right side
    78.95x = 6,608.85
  5. Step 5: Solve for x
    x = 6,608.85/78.95
  6. Step 6: Final answer
    x = 83.71

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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.