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Finding the Fourth Proportional to 138,371.96, 207,641.94 and 55,259

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Solution

The fourth proportional to 138,371.96, 207,641.94 and 55,259 is: 82,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,371.96 : 207,641.94 = 55,259 : x
  2. Step 2: Convert to fraction form
    138,371.96/207,641.94 = 55,259/x
  3. Step 3: Cross multiply
    138,371.96x = 207,641.94 × 55,259
  4. Step 4: Simplify right side
    138,371.96x = 11,474,085,962.46
  5. Step 5: Solve for x
    x = 11,474,085,962.46/138,371.96
  6. Step 6: Final answer
    x = 82,922.05

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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.