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Finding the Fourth Proportional to 70,877.84, 106,317.22 and 18,287.78

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Solution

The fourth proportional to 70,877.84, 106,317.22 and 18,287.78 is: 27,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877.84 : 106,317.22 = 18,287.78 : x
  2. Step 2: Convert to fraction form
    70,877.84/106,317.22 = 18,287.78/x
  3. Step 3: Cross multiply
    70,877.84x = 106,317.22 × 18,287.78
  4. Step 4: Simplify right side
    70,877.84x = 1,944,305,929.57
  5. Step 5: Solve for x
    x = 1,944,305,929.57/70,877.84
  6. Step 6: Final answer
    x = 27,431.79

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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.