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Finding the Fourth Proportional to 279,856.35, 419,873.31 and 99,937.85

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Solution

The fourth proportional to 279,856.35, 419,873.31 and 99,937.85 is: 149,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,856.35 : 419,873.31 = 99,937.85 : x
  2. Step 2: Convert to fraction form
    279,856.35/419,873.31 = 99,937.85/x
  3. Step 3: Cross multiply
    279,856.35x = 419,873.31 × 99,937.85
  4. Step 4: Simplify right side
    279,856.35x = 41,961,233,774.42
  5. Step 5: Solve for x
    x = 41,961,233,774.42/279,856.35
  6. Step 6: Final answer
    x = 149,938.47

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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.