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Finding the Fourth Proportional to 56,839, 85,260.12 and 15,286

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Solution

The fourth proportional to 56,839, 85,260.12 and 15,286 is: 22,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,839 : 85,260.12 = 15,286 : x
  2. Step 2: Convert to fraction form
    56,839/85,260.12 = 15,286/x
  3. Step 3: Cross multiply
    56,839x = 85,260.12 × 15,286
  4. Step 4: Simplify right side
    56,839x = 1,303,286,194.32
  5. Step 5: Solve for x
    x = 1,303,286,194.32/56,839
  6. Step 6: Final answer
    x = 22,929.44

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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.