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Finding the Fourth Proportional to 124.35, 185.71 and 113.01

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Solution

The fourth proportional to 124.35, 185.71 and 113.01 is: 168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 185.71 = 113.01 : x
  2. Step 2: Convert to fraction form
    124.35/185.71 = 113.01/x
  3. Step 3: Cross multiply
    124.35x = 185.71 × 113.01
  4. Step 4: Simplify right side
    124.35x = 20,987.09
  5. Step 5: Solve for x
    x = 20,987.09/124.35
  6. Step 6: Final answer
    x = 168.77

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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.