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Finding the Fourth Proportional to 110,780, 166,208.86 and 69,178.40

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Solution

The fourth proportional to 110,780, 166,208.86 and 69,178.40 is: 103,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780 : 166,208.86 = 69,178.40 : x
  2. Step 2: Convert to fraction form
    110,780/166,208.86 = 69,178.40/x
  3. Step 3: Cross multiply
    110,780x = 166,208.86 × 69,178.40
  4. Step 4: Simplify right side
    110,780x = 11,498,063,000.62
  5. Step 5: Solve for x
    x = 11,498,063,000.62/110,780
  6. Step 6: Final answer
    x = 103,791.87

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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.