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Finding the Fourth Proportional to 117.38, 162.01 and 113.72

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Solution

The fourth proportional to 117.38, 162.01 and 113.72 is: 156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.38 : 162.01 = 113.72 : x
  2. Step 2: Convert to fraction form
    117.38/162.01 = 113.72/x
  3. Step 3: Cross multiply
    117.38x = 162.01 × 113.72
  4. Step 4: Simplify right side
    117.38x = 18,423.90
  5. Step 5: Solve for x
    x = 18,423.90/117.38
  6. Step 6: Final answer
    x = 156.96

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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.