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Finding the Fourth Proportional to 77.45, 116.10 and 55.85

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Solution

The fourth proportional to 77.45, 116.10 and 55.85 is: 83.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.45 : 116.10 = 55.85 : x
  2. Step 2: Convert to fraction form
    77.45/116.10 = 55.85/x
  3. Step 3: Cross multiply
    77.45x = 116.10 × 55.85
  4. Step 4: Simplify right side
    77.45x = 6,483.60
  5. Step 5: Solve for x
    x = 6,483.60/77.45
  6. Step 6: Final answer
    x = 83.72

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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.