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Finding the Fourth Proportional to 272,761.25, 409,156.46 and 85,787.33

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Solution

The fourth proportional to 272,761.25, 409,156.46 and 85,787.33 is: 128,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,761.25 : 409,156.46 = 85,787.33 : x
  2. Step 2: Convert to fraction form
    272,761.25/409,156.46 = 85,787.33/x
  3. Step 3: Cross multiply
    272,761.25x = 409,156.46 × 85,787.33
  4. Step 4: Simplify right side
    272,761.25x = 35,100,440,255.65
  5. Step 5: Solve for x
    x = 35,100,440,255.65/272,761.25
  6. Step 6: Final answer
    x = 128,685.58

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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.