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Finding the Fourth Proportional to 78.77, 108.72 and 49.25

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Solution

The fourth proportional to 78.77, 108.72 and 49.25 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.77 : 108.72 = 49.25 : x
  2. Step 2: Convert to fraction form
    78.77/108.72 = 49.25/x
  3. Step 3: Cross multiply
    78.77x = 108.72 × 49.25
  4. Step 4: Simplify right side
    78.77x = 5,354.46
  5. Step 5: Solve for x
    x = 5,354.46/78.77
  6. Step 6: Final answer
    x = 67.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.