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Finding the Fourth Proportional to 203,892.96, 281,370 and 113,249.76

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Solution

The fourth proportional to 203,892.96, 281,370 and 113,249.76 is: 156,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.96 : 281,370 = 113,249.76 : x
  2. Step 2: Convert to fraction form
    203,892.96/281,370 = 113,249.76/x
  3. Step 3: Cross multiply
    203,892.96x = 281,370 × 113,249.76
  4. Step 4: Simplify right side
    203,892.96x = 31,865,084,971.20
  5. Step 5: Solve for x
    x = 31,865,084,971.20/203,892.96
  6. Step 6: Final answer
    x = 156,283.40

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1.5x scale

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.