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Finding the Fourth Proportional to 113.38, 156.47 and 69.12

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Solution

The fourth proportional to 113.38, 156.47 and 69.12 is: 95.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 156.47 = 69.12 : x
  2. Step 2: Convert to fraction form
    113.38/156.47 = 69.12/x
  3. Step 3: Cross multiply
    113.38x = 156.47 × 69.12
  4. Step 4: Simplify right side
    113.38x = 10,814.71
  5. Step 5: Solve for x
    x = 10,814.71/113.38
  6. Step 6: Final answer
    x = 95.38

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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.