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Finding the Fourth Proportional to 75.85, 114.16 and 57.66

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Solution

The fourth proportional to 75.85, 114.16 and 57.66 is: 86.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.85 : 114.16 = 57.66 : x
  2. Step 2: Convert to fraction form
    75.85/114.16 = 57.66/x
  3. Step 3: Cross multiply
    75.85x = 114.16 × 57.66
  4. Step 4: Simplify right side
    75.85x = 6,582.47
  5. Step 5: Solve for x
    x = 6,582.47/75.85
  6. Step 6: Final answer
    x = 86.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.