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Finding the Fourth Proportional to 78.66, 117.98 and 54.77

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Solution

The fourth proportional to 78.66, 117.98 and 54.77 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.66 : 117.98 = 54.77 : x
  2. Step 2: Convert to fraction form
    78.66/117.98 = 54.77/x
  3. Step 3: Cross multiply
    78.66x = 117.98 × 54.77
  4. Step 4: Simplify right side
    78.66x = 6,460.90
  5. Step 5: Solve for x
    x = 6,460.90/78.66
  6. Step 6: Final answer
    x = 82.14

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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.