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Finding the Fourth Proportional to 272,749.78, 409,189.04 and 85,761.28

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Solution

The fourth proportional to 272,749.78, 409,189.04 and 85,761.28 is: 128,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,749.78 : 409,189.04 = 85,761.28 : x
  2. Step 2: Convert to fraction form
    272,749.78/409,189.04 = 85,761.28/x
  3. Step 3: Cross multiply
    272,749.78x = 409,189.04 × 85,761.28
  4. Step 4: Simplify right side
    272,749.78x = 35,092,573,357.62
  5. Step 5: Solve for x
    x = 35,092,573,357.62/272,749.78
  6. Step 6: Final answer
    x = 128,662.15

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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.