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Finding the Fourth Proportional to 75.07, 112.42 and 57.82

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Solution

The fourth proportional to 75.07, 112.42 and 57.82 is: 86.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.07 : 112.42 = 57.82 : x
  2. Step 2: Convert to fraction form
    75.07/112.42 = 57.82/x
  3. Step 3: Cross multiply
    75.07x = 112.42 × 57.82
  4. Step 4: Simplify right side
    75.07x = 6,500.12
  5. Step 5: Solve for x
    x = 6,500.12/75.07
  6. Step 6: Final answer
    x = 86.59

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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.