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Finding the Fourth Proportional to 112.96, 156.07 and 107.34

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Solution

The fourth proportional to 112.96, 156.07 and 107.34 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 156.07 = 107.34 : x
  2. Step 2: Convert to fraction form
    112.96/156.07 = 107.34/x
  3. Step 3: Cross multiply
    112.96x = 156.07 × 107.34
  4. Step 4: Simplify right side
    112.96x = 16,752.55
  5. Step 5: Solve for x
    x = 16,752.55/112.96
  6. Step 6: Final answer
    x = 148.31

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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.