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Finding the Fourth Proportional to 259,535.52, 389,319.48 and 109,747.80

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Solution

The fourth proportional to 259,535.52, 389,319.48 and 109,747.80 is: 164,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,535.52 : 389,319.48 = 109,747.80 : x
  2. Step 2: Convert to fraction form
    259,535.52/389,319.48 = 109,747.80/x
  3. Step 3: Cross multiply
    259,535.52x = 389,319.48 × 109,747.80
  4. Step 4: Simplify right side
    259,535.52x = 42,726,956,427.14
  5. Step 5: Solve for x
    x = 42,726,956,427.14/259,535.52
  6. Step 6: Final answer
    x = 164,628.55

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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.