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Finding the Fourth Proportional to 272,874.20, 409,356.10 and 85,840.60

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Solution

The fourth proportional to 272,874.20, 409,356.10 and 85,840.60 is: 128,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874.20 : 409,356.10 = 85,840.60 : x
  2. Step 2: Convert to fraction form
    272,874.20/409,356.10 = 85,840.60/x
  3. Step 3: Cross multiply
    272,874.20x = 409,356.10 × 85,840.60
  4. Step 4: Simplify right side
    272,874.20x = 35,139,373,237.66
  5. Step 5: Solve for x
    x = 35,139,373,237.66/272,874.20
  6. Step 6: Final answer
    x = 128,774.99

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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.