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Finding the Fourth Proportional to 75.86, 113.82 and 39.77

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Solution

The fourth proportional to 75.86, 113.82 and 39.77 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.82 = 39.77 : x
  2. Step 2: Convert to fraction form
    75.86/113.82 = 39.77/x
  3. Step 3: Cross multiply
    75.86x = 113.82 × 39.77
  4. Step 4: Simplify right side
    75.86x = 4,526.24
  5. Step 5: Solve for x
    x = 4,526.24/75.86
  6. Step 6: Final answer
    x = 59.66

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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.