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Finding the Fourth Proportional to 203,263, 280,502.94 and 113,839

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Solution

The fourth proportional to 203,263, 280,502.94 and 113,839 is: 157,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,263 : 280,502.94 = 113,839 : x
  2. Step 2: Convert to fraction form
    203,263/280,502.94 = 113,839/x
  3. Step 3: Cross multiply
    203,263x = 280,502.94 × 113,839
  4. Step 4: Simplify right side
    203,263x = 31,932,174,186.66
  5. Step 5: Solve for x
    x = 31,932,174,186.66/203,263
  6. Step 6: Final answer
    x = 157,097.82

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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.