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Finding the Fourth Proportional to 99.24, 148.15 and 87.09

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Solution

The fourth proportional to 99.24, 148.15 and 87.09 is: 130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 148.15 = 87.09 : x
  2. Step 2: Convert to fraction form
    99.24/148.15 = 87.09/x
  3. Step 3: Cross multiply
    99.24x = 148.15 × 87.09
  4. Step 4: Simplify right side
    99.24x = 12,902.38
  5. Step 5: Solve for x
    x = 12,902.38/99.24
  6. Step 6: Final answer
    x = 130.01

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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.