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Finding the Fourth Proportional to 107.32, 148.19 and 87.65

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Solution

The fourth proportional to 107.32, 148.19 and 87.65 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.32 : 148.19 = 87.65 : x
  2. Step 2: Convert to fraction form
    107.32/148.19 = 87.65/x
  3. Step 3: Cross multiply
    107.32x = 148.19 × 87.65
  4. Step 4: Simplify right side
    107.32x = 12,988.85
  5. Step 5: Solve for x
    x = 12,988.85/107.32
  6. Step 6: Final answer
    x = 121.03

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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.