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Finding the Fourth Proportional to 203,512.82, 280,864.94 and 112,897.98

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Solution

The fourth proportional to 203,512.82, 280,864.94 and 112,897.98 is: 155,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512.82 : 280,864.94 = 112,897.98 : x
  2. Step 2: Convert to fraction form
    203,512.82/280,864.94 = 112,897.98/x
  3. Step 3: Cross multiply
    203,512.82x = 280,864.94 × 112,897.98
  4. Step 4: Simplify right side
    203,512.82x = 31,709,083,814.33
  5. Step 5: Solve for x
    x = 31,709,083,814.33/203,512.82
  6. Step 6: Final answer
    x = 155,808.78

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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.