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Finding the Fourth Proportional to 200,076.86, 299,782.11 and 140,787.97

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Solution

The fourth proportional to 200,076.86, 299,782.11 and 140,787.97 is: 210,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.86 : 299,782.11 = 140,787.97 : x
  2. Step 2: Convert to fraction form
    200,076.86/299,782.11 = 140,787.97/x
  3. Step 3: Cross multiply
    200,076.86x = 299,782.11 × 140,787.97
  4. Step 4: Simplify right side
    200,076.86x = 42,205,714,709.22
  5. Step 5: Solve for x
    x = 42,205,714,709.22/200,076.86
  6. Step 6: Final answer
    x = 210,947.51

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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.