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Finding the Fourth Proportional to 116.66, 174.66 and 78.05

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Solution

The fourth proportional to 116.66, 174.66 and 78.05 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 174.66 = 78.05 : x
  2. Step 2: Convert to fraction form
    116.66/174.66 = 78.05/x
  3. Step 3: Cross multiply
    116.66x = 174.66 × 78.05
  4. Step 4: Simplify right side
    116.66x = 13,632.21
  5. Step 5: Solve for x
    x = 13,632.21/116.66
  6. Step 6: Final answer
    x = 116.85

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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.