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Finding the Fourth Proportional to 79.85, 120.23 and 59.70

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Solution

The fourth proportional to 79.85, 120.23 and 59.70 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.85 : 120.23 = 59.70 : x
  2. Step 2: Convert to fraction form
    79.85/120.23 = 59.70/x
  3. Step 3: Cross multiply
    79.85x = 120.23 × 59.70
  4. Step 4: Simplify right side
    79.85x = 7,177.43
  5. Step 5: Solve for x
    x = 7,177.43/79.85
  6. Step 6: Final answer
    x = 89.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.