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Finding the Fourth Proportional to 80.55, 119.88 and 78.93

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Solution

The fourth proportional to 80.55, 119.88 and 78.93 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.55 : 119.88 = 78.93 : x
  2. Step 2: Convert to fraction form
    80.55/119.88 = 78.93/x
  3. Step 3: Cross multiply
    80.55x = 119.88 × 78.93
  4. Step 4: Simplify right side
    80.55x = 9,462.13
  5. Step 5: Solve for x
    x = 9,462.13/80.55
  6. Step 6: Final answer
    x = 117.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.