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Finding the Fourth Proportional to 71,218.78, 106,828.03 and 26,855.49

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Solution

The fourth proportional to 71,218.78, 106,828.03 and 26,855.49 is: 40,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,218.78 : 106,828.03 = 26,855.49 : x
  2. Step 2: Convert to fraction form
    71,218.78/106,828.03 = 26,855.49/x
  3. Step 3: Cross multiply
    71,218.78x = 106,828.03 × 26,855.49
  4. Step 4: Simplify right side
    71,218.78x = 2,868,919,091.38
  5. Step 5: Solve for x
    x = 2,868,919,091.38/71,218.78
  6. Step 6: Final answer
    x = 40,283.18

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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.