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Finding the Fourth Proportional to 138,456.36, 207,694.53 and 49,710.60

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Solution

The fourth proportional to 138,456.36, 207,694.53 and 49,710.60 is: 74,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456.36 : 207,694.53 = 49,710.60 : x
  2. Step 2: Convert to fraction form
    138,456.36/207,694.53 = 49,710.60/x
  3. Step 3: Cross multiply
    138,456.36x = 207,694.53 × 49,710.60
  4. Step 4: Simplify right side
    138,456.36x = 10,324,619,703.02
  5. Step 5: Solve for x
    x = 10,324,619,703.02/138,456.36
  6. Step 6: Final answer
    x = 74,569.49

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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.