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Finding the Fourth Proportional to 113.67, 156.42 and 103.32

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Solution

The fourth proportional to 113.67, 156.42 and 103.32 is: 142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.67 : 156.42 = 103.32 : x
  2. Step 2: Convert to fraction form
    113.67/156.42 = 103.32/x
  3. Step 3: Cross multiply
    113.67x = 156.42 × 103.32
  4. Step 4: Simplify right side
    113.67x = 16,161.31
  5. Step 5: Solve for x
    x = 16,161.31/113.67
  6. Step 6: Final answer
    x = 142.18

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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.