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Finding the Fourth Proportional to 113.57, 169.70 and 84.17

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Solution

The fourth proportional to 113.57, 169.70 and 84.17 is: 125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.57 : 169.70 = 84.17 : x
  2. Step 2: Convert to fraction form
    113.57/169.70 = 84.17/x
  3. Step 3: Cross multiply
    113.57x = 169.70 × 84.17
  4. Step 4: Simplify right side
    113.57x = 14,283.65
  5. Step 5: Solve for x
    x = 14,283.65/113.57
  6. Step 6: Final answer
    x = 125.77

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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.