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Finding the Fourth Proportional to 250,728.21, 375,828.08 and 82,204.56

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Solution

The fourth proportional to 250,728.21, 375,828.08 and 82,204.56 is: 123,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,728.21 : 375,828.08 = 82,204.56 : x
  2. Step 2: Convert to fraction form
    250,728.21/375,828.08 = 82,204.56/x
  3. Step 3: Cross multiply
    250,728.21x = 375,828.08 × 82,204.56
  4. Step 4: Simplify right side
    250,728.21x = 30,894,781,541.02
  5. Step 5: Solve for x
    x = 30,894,781,541.02/250,728.21
  6. Step 6: Final answer
    x = 123,220.21

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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.