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Finding the Fourth Proportional to 113.53, 169.70 and 84.37

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Solution

The fourth proportional to 113.53, 169.70 and 84.37 is: 126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 169.70 = 84.37 : x
  2. Step 2: Convert to fraction form
    113.53/169.70 = 84.37/x
  3. Step 3: Cross multiply
    113.53x = 169.70 × 84.37
  4. Step 4: Simplify right side
    113.53x = 14,316.74
  5. Step 5: Solve for x
    x = 14,316.74/113.53
  6. Step 6: Final answer
    x = 126.11

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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.