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Finding the Fourth Proportional to 99.12, 147.90 and 82.87

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Solution

The fourth proportional to 99.12, 147.90 and 82.87 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 147.90 = 82.87 : x
  2. Step 2: Convert to fraction form
    99.12/147.90 = 82.87/x
  3. Step 3: Cross multiply
    99.12x = 147.90 × 82.87
  4. Step 4: Simplify right side
    99.12x = 12,257.01
  5. Step 5: Solve for x
    x = 12,257.01/99.12
  6. Step 6: Final answer
    x = 123.65

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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.