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Finding the Fourth Proportional to 98.10, 134.77 and 87.87

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Solution

The fourth proportional to 98.10, 134.77 and 87.87 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 134.77 = 87.87 : x
  2. Step 2: Convert to fraction form
    98.10/134.77 = 87.87/x
  3. Step 3: Cross multiply
    98.10x = 134.77 × 87.87
  4. Step 4: Simplify right side
    98.10x = 11,842.24
  5. Step 5: Solve for x
    x = 11,842.24/98.10
  6. Step 6: Final answer
    x = 120.72

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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.