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Finding the Fourth Proportional to 49,894, 68,853.81 and 27,538

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Solution

The fourth proportional to 49,894, 68,853.81 and 27,538 is: 38,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894 : 68,853.81 = 27,538 : x
  2. Step 2: Convert to fraction form
    49,894/68,853.81 = 27,538/x
  3. Step 3: Cross multiply
    49,894x = 68,853.81 × 27,538
  4. Step 4: Simplify right side
    49,894x = 1,896,096,219.78
  5. Step 5: Solve for x
    x = 1,896,096,219.78/49,894
  6. Step 6: Final answer
    x = 38,002.49

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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.