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Finding the Fourth Proportional to 199,856.50, 275,817.70 and 113,819.12

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Solution

The fourth proportional to 199,856.50, 275,817.70 and 113,819.12 is: 157,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,856.50 : 275,817.70 = 113,819.12 : x
  2. Step 2: Convert to fraction form
    199,856.50/275,817.70 = 113,819.12/x
  3. Step 3: Cross multiply
    199,856.50x = 275,817.70 × 113,819.12
  4. Step 4: Simplify right side
    199,856.50x = 31,393,327,894.42
  5. Step 5: Solve for x
    x = 31,393,327,894.42/199,856.50
  6. Step 6: Final answer
    x = 157,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.