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Finding the Fourth Proportional to 203,407.56, 280,701.66 and 113,983.56

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Solution

The fourth proportional to 203,407.56, 280,701.66 and 113,983.56 is: 157,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,407.56 : 280,701.66 = 113,983.56 : x
  2. Step 2: Convert to fraction form
    203,407.56/280,701.66 = 113,983.56/x
  3. Step 3: Cross multiply
    203,407.56x = 280,701.66 × 113,983.56
  4. Step 4: Simplify right side
    203,407.56x = 31,995,374,504.71
  5. Step 5: Solve for x
    x = 31,995,374,504.71/203,407.56
  6. Step 6: Final answer
    x = 157,296.88

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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.