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Finding the Fourth Proportional to 272,710.56, 409,083.12 and 85,729.44

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Solution

The fourth proportional to 272,710.56, 409,083.12 and 85,729.44 is: 128,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,710.56 : 409,083.12 = 85,729.44 : x
  2. Step 2: Convert to fraction form
    272,710.56/409,083.12 = 85,729.44/x
  3. Step 3: Cross multiply
    272,710.56x = 409,083.12 × 85,729.44
  4. Step 4: Simplify right side
    272,710.56x = 35,070,466,791.05
  5. Step 5: Solve for x
    x = 35,070,466,791.05/272,710.56
  6. Step 6: Final answer
    x = 128,599.59

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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.