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Finding the Fourth Proportional to 100,039.78, 138,052.92 and 54,717.61

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Solution

The fourth proportional to 100,039.78, 138,052.92 and 54,717.61 is: 75,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.78 : 138,052.92 = 54,717.61 : x
  2. Step 2: Convert to fraction form
    100,039.78/138,052.92 = 54,717.61/x
  3. Step 3: Cross multiply
    100,039.78x = 138,052.92 × 54,717.61
  4. Step 4: Simplify right side
    100,039.78x = 7,553,925,835.92
  5. Step 5: Solve for x
    x = 7,553,925,835.92/100,039.78
  6. Step 6: Final answer
    x = 75,509.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.