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Finding the Fourth Proportional to 138,038.87, 207,062.92 and 38,190.71

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Solution

The fourth proportional to 138,038.87, 207,062.92 and 38,190.71 is: 57,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038.87 : 207,062.92 = 38,190.71 : x
  2. Step 2: Convert to fraction form
    138,038.87/207,062.92 = 38,190.71/x
  3. Step 3: Cross multiply
    138,038.87x = 207,062.92 × 38,190.71
  4. Step 4: Simplify right side
    138,038.87x = 7,907,880,351.65
  5. Step 5: Solve for x
    x = 7,907,880,351.65/138,038.87
  6. Step 6: Final answer
    x = 57,287.34

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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.