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Finding the Fourth Proportional to 138,641.75, 207,962.66 and 38,816.65

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Solution

The fourth proportional to 138,641.75, 207,962.66 and 38,816.65 is: 58,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.75 : 207,962.66 = 38,816.65 : x
  2. Step 2: Convert to fraction form
    138,641.75/207,962.66 = 38,816.65/x
  3. Step 3: Cross multiply
    138,641.75x = 207,962.66 × 38,816.65
  4. Step 4: Simplify right side
    138,641.75x = 8,072,413,786.29
  5. Step 5: Solve for x
    x = 8,072,413,786.29/138,641.75
  6. Step 6: Final answer
    x = 58,224.98

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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.