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Finding the Fourth Proportional to 138,569.85, 207,334.76 and 82,203.57

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Solution

The fourth proportional to 138,569.85, 207,334.76 and 82,203.57 is: 122,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,569.85 : 207,334.76 = 82,203.57 : x
  2. Step 2: Convert to fraction form
    138,569.85/207,334.76 = 82,203.57/x
  3. Step 3: Cross multiply
    138,569.85x = 207,334.76 × 82,203.57
  4. Step 4: Simplify right side
    138,569.85x = 17,043,657,046.08
  5. Step 5: Solve for x
    x = 17,043,657,046.08/138,569.85
  6. Step 6: Final answer
    x = 122,996.86

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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.