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Finding the Fourth Proportional to 75.92, 112.92 and 73.64

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Solution

The fourth proportional to 75.92, 112.92 and 73.64 is: 109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.92 : 112.92 = 73.64 : x
  2. Step 2: Convert to fraction form
    75.92/112.92 = 73.64/x
  3. Step 3: Cross multiply
    75.92x = 112.92 × 73.64
  4. Step 4: Simplify right side
    75.92x = 8,315.43
  5. Step 5: Solve for x
    x = 8,315.43/75.92
  6. Step 6: Final answer
    x = 109.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.