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Finding the Fourth Proportional to 95.50, 144 and 77.68

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Solution

The fourth proportional to 95.50, 144 and 77.68 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 144 = 77.68 : x
  2. Step 2: Convert to fraction form
    95.50/144 = 77.68/x
  3. Step 3: Cross multiply
    95.50x = 144 × 77.68
  4. Step 4: Simplify right side
    95.50x = 11,185.92
  5. Step 5: Solve for x
    x = 11,185.92/95.50
  6. Step 6: Final answer
    x = 117.13

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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.