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Finding the Fourth Proportional to 113.71, 170.59 and 36.68

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Solution

The fourth proportional to 113.71, 170.59 and 36.68 is: 55.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.71 : 170.59 = 36.68 : x
  2. Step 2: Convert to fraction form
    113.71/170.59 = 36.68/x
  3. Step 3: Cross multiply
    113.71x = 170.59 × 36.68
  4. Step 4: Simplify right side
    113.71x = 6,256.72
  5. Step 5: Solve for x
    x = 6,256.72/113.71
  6. Step 6: Final answer
    x = 55.03

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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.