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Finding the Fourth Proportional to 199,911.17, 275,881.34 and 109,264.61

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Solution

The fourth proportional to 199,911.17, 275,881.34 and 109,264.61 is: 150,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,911.17 : 275,881.34 = 109,264.61 : x
  2. Step 2: Convert to fraction form
    199,911.17/275,881.34 = 109,264.61/x
  3. Step 3: Cross multiply
    199,911.17x = 275,881.34 × 109,264.61
  4. Step 4: Simplify right side
    199,911.17x = 30,144,067,021.38
  5. Step 5: Solve for x
    x = 30,144,067,021.38/199,911.17
  6. Step 6: Final answer
    x = 150,787.31

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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.