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Finding the Fourth Proportional to 199,853.84, 275,794.98 and 109,207.87

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Solution

The fourth proportional to 199,853.84, 275,794.98 and 109,207.87 is: 150,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853.84 : 275,794.98 = 109,207.87 : x
  2. Step 2: Convert to fraction form
    199,853.84/275,794.98 = 109,207.87/x
  3. Step 3: Cross multiply
    199,853.84x = 275,794.98 × 109,207.87
  4. Step 4: Simplify right side
    199,853.84x = 30,118,982,322.49
  5. Step 5: Solve for x
    x = 30,118,982,322.49/199,853.84
  6. Step 6: Final answer
    x = 150,705.05

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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.