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Finding the Fourth Proportional to 110,780.80, 166,057.80 and 54,534.40

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Solution

The fourth proportional to 110,780.80, 166,057.80 and 54,534.40 is: 81,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780.80 : 166,057.80 = 54,534.40 : x
  2. Step 2: Convert to fraction form
    110,780.80/166,057.80 = 54,534.40/x
  3. Step 3: Cross multiply
    110,780.80x = 166,057.80 × 54,534.40
  4. Step 4: Simplify right side
    110,780.80x = 9,055,862,488.32
  5. Step 5: Solve for x
    x = 9,055,862,488.32/110,780.80
  6. Step 6: Final answer
    x = 81,745.78

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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.