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Finding the Fourth Proportional to 259,513.92, 389,132.13 and 133,102.58

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Solution

The fourth proportional to 259,513.92, 389,132.13 and 133,102.58 is: 199,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,513.92 : 389,132.13 = 133,102.58 : x
  2. Step 2: Convert to fraction form
    259,513.92/389,132.13 = 133,102.58/x
  3. Step 3: Cross multiply
    259,513.92x = 389,132.13 × 133,102.58
  4. Step 4: Simplify right side
    259,513.92x = 51,794,490,463.90
  5. Step 5: Solve for x
    x = 51,794,490,463.90/259,513.92
  6. Step 6: Final answer
    x = 199,582.71

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1.5x scale

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.