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Finding the Fourth Proportional to 77.99, 116.42 and 71.57

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Solution

The fourth proportional to 77.99, 116.42 and 71.57 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 116.42 = 71.57 : x
  2. Step 2: Convert to fraction form
    77.99/116.42 = 71.57/x
  3. Step 3: Cross multiply
    77.99x = 116.42 × 71.57
  4. Step 4: Simplify right side
    77.99x = 8,332.00
  5. Step 5: Solve for x
    x = 8,332.00/77.99
  6. Step 6: Final answer
    x = 106.83

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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.