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Finding the Fourth Proportional to 99.29, 137.04 and 87.70

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Solution

The fourth proportional to 99.29, 137.04 and 87.70 is: 121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 137.04 = 87.70 : x
  2. Step 2: Convert to fraction form
    99.29/137.04 = 87.70/x
  3. Step 3: Cross multiply
    99.29x = 137.04 × 87.70
  4. Step 4: Simplify right side
    99.29x = 12,018.49
  5. Step 5: Solve for x
    x = 12,018.49/99.29
  6. Step 6: Final answer
    x = 121.04

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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.