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Finding the Fourth Proportional to 49,367.50, 68,126.70 and 27,857.40

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Solution

The fourth proportional to 49,367.50, 68,126.70 and 27,857.40 is: 38,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,367.50 : 68,126.70 = 27,857.40 : x
  2. Step 2: Convert to fraction form
    49,367.50/68,126.70 = 27,857.40/x
  3. Step 3: Cross multiply
    49,367.50x = 68,126.70 × 27,857.40
  4. Step 4: Simplify right side
    49,367.50x = 1,897,832,391.95
  5. Step 5: Solve for x
    x = 1,897,832,391.95/49,367.50
  6. Step 6: Final answer
    x = 38,442.95

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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.