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Finding the Fourth Proportional to 87.55, 120.77 and 63

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Solution

The fourth proportional to 87.55, 120.77 and 63 is: 86.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.55 : 120.77 = 63 : x
  2. Step 2: Convert to fraction form
    87.55/120.77 = 63/x
  3. Step 3: Cross multiply
    87.55x = 120.77 × 63
  4. Step 4: Simplify right side
    87.55x = 7,608.79
  5. Step 5: Solve for x
    x = 7,608.79/87.55
  6. Step 6: Final answer
    x = 86.91

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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.