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Finding the Fourth Proportional to 95.86, 143.61 and 47.80

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Solution

The fourth proportional to 95.86, 143.61 and 47.80 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.86 : 143.61 = 47.80 : x
  2. Step 2: Convert to fraction form
    95.86/143.61 = 47.80/x
  3. Step 3: Cross multiply
    95.86x = 143.61 × 47.80
  4. Step 4: Simplify right side
    95.86x = 6,864.56
  5. Step 5: Solve for x
    x = 6,864.56/95.86
  6. Step 6: Final answer
    x = 71.61

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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.