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Finding the Fourth Proportional to 259,291.82, 389,300.70 and 133,021.13

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Solution

The fourth proportional to 259,291.82, 389,300.70 and 133,021.13 is: 199,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,291.82 : 389,300.70 = 133,021.13 : x
  2. Step 2: Convert to fraction form
    259,291.82/389,300.70 = 133,021.13/x
  3. Step 3: Cross multiply
    259,291.82x = 389,300.70 × 133,021.13
  4. Step 4: Simplify right side
    259,291.82x = 51,785,217,077.29
  5. Step 5: Solve for x
    x = 51,785,217,077.29/259,291.82
  6. Step 6: Final answer
    x = 199,717.90

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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.