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Finding the Fourth Proportional to 272,784.57, 409,241.24 and 85,796.07

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Solution

The fourth proportional to 272,784.57, 409,241.24 and 85,796.07 is: 128,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,784.57 : 409,241.24 = 85,796.07 : x
  2. Step 2: Convert to fraction form
    272,784.57/409,241.24 = 85,796.07/x
  3. Step 3: Cross multiply
    272,784.57x = 409,241.24 × 85,796.07
  4. Step 4: Simplify right side
    272,784.57x = 35,111,290,073.93
  5. Step 5: Solve for x
    x = 35,111,290,073.93/272,784.57
  6. Step 6: Final answer
    x = 128,714.36

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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.