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Finding the Fourth Proportional to 138,038.73, 207,062.73 and 38,190.57

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Solution

The fourth proportional to 138,038.73, 207,062.73 and 38,190.57 is: 57,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038.73 : 207,062.73 = 38,190.57 : x
  2. Step 2: Convert to fraction form
    138,038.73/207,062.73 = 38,190.57/x
  3. Step 3: Cross multiply
    138,038.73x = 207,062.73 × 38,190.57
  4. Step 4: Simplify right side
    138,038.73x = 7,907,844,072.70
  5. Step 5: Solve for x
    x = 7,907,844,072.70/138,038.73
  6. Step 6: Final answer
    x = 57,287.14

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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.