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Finding the Fourth Proportional to 112.61, 168.64 and 76.43

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Solution

The fourth proportional to 112.61, 168.64 and 76.43 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.61 : 168.64 = 76.43 : x
  2. Step 2: Convert to fraction form
    112.61/168.64 = 76.43/x
  3. Step 3: Cross multiply
    112.61x = 168.64 × 76.43
  4. Step 4: Simplify right side
    112.61x = 12,887.93
  5. Step 5: Solve for x
    x = 12,887.93/112.61
  6. Step 6: Final answer
    x = 114.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.