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Finding the Fourth Proportional to 199,797.32, 299,695.97 and 81,477.89

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Solution

The fourth proportional to 199,797.32, 299,695.97 and 81,477.89 is: 122,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,797.32 : 299,695.97 = 81,477.89 : x
  2. Step 2: Convert to fraction form
    199,797.32/299,695.97 = 81,477.89/x
  3. Step 3: Cross multiply
    199,797.32x = 299,695.97 × 81,477.89
  4. Step 4: Simplify right side
    199,797.32x = 24,418,593,982.32
  5. Step 5: Solve for x
    x = 24,418,593,982.32/199,797.32
  6. Step 6: Final answer
    x = 122,216.83

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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.