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Finding the Fourth Proportional to 259,864.74, 389,796.39 and 101,982.78

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Solution

The fourth proportional to 259,864.74, 389,796.39 and 101,982.78 is: 152,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,864.74 : 389,796.39 = 101,982.78 : x
  2. Step 2: Convert to fraction form
    259,864.74/389,796.39 = 101,982.78/x
  3. Step 3: Cross multiply
    259,864.74x = 389,796.39 × 101,982.78
  4. Step 4: Simplify right side
    259,864.74x = 39,752,519,486.16
  5. Step 5: Solve for x
    x = 39,752,519,486.16/259,864.74
  6. Step 6: Final answer
    x = 152,973.89

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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.