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Finding the Fourth Proportional to 99.65, 148.77 and 76.87

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Solution

The fourth proportional to 99.65, 148.77 and 76.87 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 148.77 = 76.87 : x
  2. Step 2: Convert to fraction form
    99.65/148.77 = 76.87/x
  3. Step 3: Cross multiply
    99.65x = 148.77 × 76.87
  4. Step 4: Simplify right side
    99.65x = 11,435.30
  5. Step 5: Solve for x
    x = 11,435.30/99.65
  6. Step 6: Final answer
    x = 114.76

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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.