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Finding the Fourth Proportional to 272,896.40, 409,344.60 and 85,907.90

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Solution

The fourth proportional to 272,896.40, 409,344.60 and 85,907.90 is: 128,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,896.40 : 409,344.60 = 85,907.90 : x
  2. Step 2: Convert to fraction form
    272,896.40/409,344.60 = 85,907.90/x
  3. Step 3: Cross multiply
    272,896.40x = 409,344.60 × 85,907.90
  4. Step 4: Simplify right side
    272,896.40x = 35,165,934,962.34
  5. Step 5: Solve for x
    x = 35,165,934,962.34/272,896.40
  6. Step 6: Final answer
    x = 128,861.85

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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.