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Finding the Fourth Proportional to 99,871.53, 149,807.88 and 33,311.49

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Solution

The fourth proportional to 99,871.53, 149,807.88 and 33,311.49 is: 49,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.53 : 149,807.88 = 33,311.49 : x
  2. Step 2: Convert to fraction form
    99,871.53/149,807.88 = 33,311.49/x
  3. Step 3: Cross multiply
    99,871.53x = 149,807.88 × 33,311.49
  4. Step 4: Simplify right side
    99,871.53x = 4,990,323,696.54
  5. Step 5: Solve for x
    x = 4,990,323,696.54/99,871.53
  6. Step 6: Final answer
    x = 49,967.43

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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.