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Finding the Fourth Proportional to 113.46, 169.71 and 87.78

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Solution

The fourth proportional to 113.46, 169.71 and 87.78 is: 131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.46 : 169.71 = 87.78 : x
  2. Step 2: Convert to fraction form
    113.46/169.71 = 87.78/x
  3. Step 3: Cross multiply
    113.46x = 169.71 × 87.78
  4. Step 4: Simplify right side
    113.46x = 14,897.14
  5. Step 5: Solve for x
    x = 14,897.14/113.46
  6. Step 6: Final answer
    x = 131.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.