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Finding the Fourth Proportional to 257,789.80, 386,703.14 and 107,879.14

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Solution

The fourth proportional to 257,789.80, 386,703.14 and 107,879.14 is: 161,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,789.80 : 386,703.14 = 107,879.14 : x
  2. Step 2: Convert to fraction form
    257,789.80/386,703.14 = 107,879.14/x
  3. Step 3: Cross multiply
    257,789.80x = 386,703.14 × 107,879.14
  4. Step 4: Simplify right side
    257,789.80x = 41,717,202,178.50
  5. Step 5: Solve for x
    x = 41,717,202,178.50/257,789.80
  6. Step 6: Final answer
    x = 161,826.43

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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.