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Finding the Fourth Proportional to 83,238, 124,857 and 24,870

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Solution

The fourth proportional to 83,238, 124,857 and 24,870 is: 37,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238 : 124,857 = 24,870 : x
  2. Step 2: Convert to fraction form
    83,238/124,857 = 24,870/x
  3. Step 3: Cross multiply
    83,238x = 124,857 × 24,870
  4. Step 4: Simplify right side
    83,238x = 3,105,193,590
  5. Step 5: Solve for x
    x = 3,105,193,590/83,238
  6. Step 6: Final answer
    x = 37,305

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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.