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Finding the Fourth Proportional to 267,856.56, 401,771.82 and 99,409.72

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Solution

The fourth proportional to 267,856.56, 401,771.82 and 99,409.72 is: 149,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,856.56 : 401,771.82 = 99,409.72 : x
  2. Step 2: Convert to fraction form
    267,856.56/401,771.82 = 99,409.72/x
  3. Step 3: Cross multiply
    267,856.56x = 401,771.82 × 99,409.72
  4. Step 4: Simplify right side
    267,856.56x = 39,940,024,130.09
  5. Step 5: Solve for x
    x = 39,940,024,130.09/267,856.56
  6. Step 6: Final answer
    x = 149,109.75

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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.