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Finding the Fourth Proportional to 87.99, 120.75 and 79.74

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Solution

The fourth proportional to 87.99, 120.75 and 79.74 is: 109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.99 : 120.75 = 79.74 : x
  2. Step 2: Convert to fraction form
    87.99/120.75 = 79.74/x
  3. Step 3: Cross multiply
    87.99x = 120.75 × 79.74
  4. Step 4: Simplify right side
    87.99x = 9,628.61
  5. Step 5: Solve for x
    x = 9,628.61/87.99
  6. Step 6: Final answer
    x = 109.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.