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Finding the Fourth Proportional to 78.96, 118.91 and 63.77

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Solution

The fourth proportional to 78.96, 118.91 and 63.77 is: 96.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.96 : 118.91 = 63.77 : x
  2. Step 2: Convert to fraction form
    78.96/118.91 = 63.77/x
  3. Step 3: Cross multiply
    78.96x = 118.91 × 63.77
  4. Step 4: Simplify right side
    78.96x = 7,581.98
  5. Step 5: Solve for x
    x = 7,581.98/78.96
  6. Step 6: Final answer
    x = 96.02

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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.