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Finding the Fourth Proportional to 138,381.86, 207,578.25 and 38,550.78

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Solution

The fourth proportional to 138,381.86, 207,578.25 and 38,550.78 is: 57,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,381.86 : 207,578.25 = 38,550.78 : x
  2. Step 2: Convert to fraction form
    138,381.86/207,578.25 = 38,550.78/x
  3. Step 3: Cross multiply
    138,381.86x = 207,578.25 × 38,550.78
  4. Step 4: Simplify right side
    138,381.86x = 8,002,303,448.54
  5. Step 5: Solve for x
    x = 8,002,303,448.54/138,381.86
  6. Step 6: Final answer
    x = 57,827.69

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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.