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Finding the Fourth Proportional to 42,286, 58,199.32 and 36,249.88

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Solution

The fourth proportional to 42,286, 58,199.32 and 36,249.88 is: 49,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286 : 58,199.32 = 36,249.88 : x
  2. Step 2: Convert to fraction form
    42,286/58,199.32 = 36,249.88/x
  3. Step 3: Cross multiply
    42,286x = 58,199.32 × 36,249.88
  4. Step 4: Simplify right side
    42,286x = 2,109,718,366.08
  5. Step 5: Solve for x
    x = 2,109,718,366.08/42,286
  6. Step 6: Final answer
    x = 49,891.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.