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Finding the Fourth Proportional to 95.87, 144.18 and 73.10

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Solution

The fourth proportional to 95.87, 144.18 and 73.10 is: 109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.87 : 144.18 = 73.10 : x
  2. Step 2: Convert to fraction form
    95.87/144.18 = 73.10/x
  3. Step 3: Cross multiply
    95.87x = 144.18 × 73.10
  4. Step 4: Simplify right side
    95.87x = 10,539.92
  5. Step 5: Solve for x
    x = 10,539.92/95.87
  6. Step 6: Final answer
    x = 109.94

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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.