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Finding the Fourth Proportional to 272,749.28, 409,188.29 and 85,760.78

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Solution

The fourth proportional to 272,749.28, 409,188.29 and 85,760.78 is: 128,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,749.28 : 409,188.29 = 85,760.78 : x
  2. Step 2: Convert to fraction form
    272,749.28/409,188.29 = 85,760.78/x
  3. Step 3: Cross multiply
    272,749.28x = 409,188.29 × 85,760.78
  4. Step 4: Simplify right side
    272,749.28x = 35,092,304,442.52
  5. Step 5: Solve for x
    x = 35,092,304,442.52/272,749.28
  6. Step 6: Final answer
    x = 128,661.40

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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.