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Finding the Fourth Proportional to 99,972.84, 137,958.33 and 59,163.42

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Solution

The fourth proportional to 99,972.84, 137,958.33 and 59,163.42 is: 81,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,972.84 : 137,958.33 = 59,163.42 : x
  2. Step 2: Convert to fraction form
    99,972.84/137,958.33 = 59,163.42/x
  3. Step 3: Cross multiply
    99,972.84x = 137,958.33 × 59,163.42
  4. Step 4: Simplify right side
    99,972.84x = 8,162,086,620.29
  5. Step 5: Solve for x
    x = 8,162,086,620.29/99,972.84
  6. Step 6: Final answer
    x = 81,643.04

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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.