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Finding the Fourth Proportional to 272,735.90, 409,168.24 and 85,747.40

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Solution

The fourth proportional to 272,735.90, 409,168.24 and 85,747.40 is: 128,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,735.90 : 409,168.24 = 85,747.40 : x
  2. Step 2: Convert to fraction form
    272,735.90/409,168.24 = 85,747.40/x
  3. Step 3: Cross multiply
    272,735.90x = 409,168.24 × 85,747.40
  4. Step 4: Simplify right side
    272,735.90x = 35,085,112,016.75
  5. Step 5: Solve for x
    x = 35,085,112,016.75/272,735.90
  6. Step 6: Final answer
    x = 128,641.34

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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.