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Finding the Fourth Proportional to 199,288, 275,017.44 and 109,865.92

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Solution

The fourth proportional to 199,288, 275,017.44 and 109,865.92 is: 151,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,288 : 275,017.44 = 109,865.92 : x
  2. Step 2: Convert to fraction form
    199,288/275,017.44 = 109,865.92/x
  3. Step 3: Cross multiply
    199,288x = 275,017.44 × 109,865.92
  4. Step 4: Simplify right side
    199,288x = 30,215,044,061.64
  5. Step 5: Solve for x
    x = 30,215,044,061.64/199,288
  6. Step 6: Final answer
    x = 151,614.97

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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.