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Finding the Fourth Proportional to 99,871.79, 149,808.24 and 33,311.73

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Solution

The fourth proportional to 99,871.79, 149,808.24 and 33,311.73 is: 49,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.79 : 149,808.24 = 33,311.73 : x
  2. Step 2: Convert to fraction form
    99,871.79/149,808.24 = 33,311.73/x
  3. Step 3: Cross multiply
    99,871.79x = 149,808.24 × 33,311.73
  4. Step 4: Simplify right side
    99,871.79x = 4,990,371,642.66
  5. Step 5: Solve for x
    x = 4,990,371,642.66/99,871.79
  6. Step 6: Final answer
    x = 49,967.78

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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.