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Finding the Fourth Proportional to 96.15, 143.61 and 77.90

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Solution

The fourth proportional to 96.15, 143.61 and 77.90 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.15 : 143.61 = 77.90 : x
  2. Step 2: Convert to fraction form
    96.15/143.61 = 77.90/x
  3. Step 3: Cross multiply
    96.15x = 143.61 × 77.90
  4. Step 4: Simplify right side
    96.15x = 11,186.21
  5. Step 5: Solve for x
    x = 11,186.21/96.15
  6. Step 6: Final answer
    x = 116.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.