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Finding the Fourth Proportional to 73,972.88, 110,960.12 and 21,382.82

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Solution

The fourth proportional to 73,972.88, 110,960.12 and 21,382.82 is: 32,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,972.88 : 110,960.12 = 21,382.82 : x
  2. Step 2: Convert to fraction form
    73,972.88/110,960.12 = 21,382.82/x
  3. Step 3: Cross multiply
    73,972.88x = 110,960.12 × 21,382.82
  4. Step 4: Simplify right side
    73,972.88x = 2,372,639,718.34
  5. Step 5: Solve for x
    x = 2,372,639,718.34/73,972.88
  6. Step 6: Final answer
    x = 32,074.46

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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.