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Finding the Fourth Proportional to 54,839, 82,258.95 and 13,286

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Solution

The fourth proportional to 54,839, 82,258.95 and 13,286 is: 19,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839 : 82,258.95 = 13,286 : x
  2. Step 2: Convert to fraction form
    54,839/82,258.95 = 13,286/x
  3. Step 3: Cross multiply
    54,839x = 82,258.95 × 13,286
  4. Step 4: Simplify right side
    54,839x = 1,092,892,409.70
  5. Step 5: Solve for x
    x = 1,092,892,409.70/54,839
  6. Step 6: Final answer
    x = 19,929.11

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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.