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Finding the Fourth Proportional to 138,446.36, 207,669.54 and 38,602.52

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Solution

The fourth proportional to 138,446.36, 207,669.54 and 38,602.52 is: 57,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,446.36 : 207,669.54 = 38,602.52 : x
  2. Step 2: Convert to fraction form
    138,446.36/207,669.54 = 38,602.52/x
  3. Step 3: Cross multiply
    138,446.36x = 207,669.54 × 38,602.52
  4. Step 4: Simplify right side
    138,446.36x = 8,016,567,571.24
  5. Step 5: Solve for x
    x = 8,016,567,571.24/138,446.36
  6. Step 6: Final answer
    x = 57,903.78

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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.