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Finding the Fourth Proportional to 113.19, 169.70 and 54.59

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Solution

The fourth proportional to 113.19, 169.70 and 54.59 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.19 : 169.70 = 54.59 : x
  2. Step 2: Convert to fraction form
    113.19/169.70 = 54.59/x
  3. Step 3: Cross multiply
    113.19x = 169.70 × 54.59
  4. Step 4: Simplify right side
    113.19x = 9,263.07
  5. Step 5: Solve for x
    x = 9,263.07/113.19
  6. Step 6: Final answer
    x = 81.84

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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.