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Finding the Fourth Proportional to 68,738.74, 103,086.15 and 21,980.50

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Solution

The fourth proportional to 68,738.74, 103,086.15 and 21,980.50 is: 32,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,738.74 : 103,086.15 = 21,980.50 : x
  2. Step 2: Convert to fraction form
    68,738.74/103,086.15 = 21,980.50/x
  3. Step 3: Cross multiply
    68,738.74x = 103,086.15 × 21,980.50
  4. Step 4: Simplify right side
    68,738.74x = 2,265,885,120.08
  5. Step 5: Solve for x
    x = 2,265,885,120.08/68,738.74
  6. Step 6: Final answer
    x = 32,963.73

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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.