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Finding the Fourth Proportional to 116.06, 173.85 and 77.56

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Solution

The fourth proportional to 116.06, 173.85 and 77.56 is: 116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 173.85 = 77.56 : x
  2. Step 2: Convert to fraction form
    116.06/173.85 = 77.56/x
  3. Step 3: Cross multiply
    116.06x = 173.85 × 77.56
  4. Step 4: Simplify right side
    116.06x = 13,483.08
  5. Step 5: Solve for x
    x = 13,483.08/116.06
  6. Step 6: Final answer
    x = 116.18

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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.