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Finding the Fourth Proportional to 117.24, 162.07 and 112.43

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Solution

The fourth proportional to 117.24, 162.07 and 112.43 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 162.07 = 112.43 : x
  2. Step 2: Convert to fraction form
    117.24/162.07 = 112.43/x
  3. Step 3: Cross multiply
    117.24x = 162.07 × 112.43
  4. Step 4: Simplify right side
    117.24x = 18,221.53
  5. Step 5: Solve for x
    x = 18,221.53/117.24
  6. Step 6: Final answer
    x = 155.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.