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Finding the Fourth Proportional to 203,118, 280,299.42 and 112,472.02

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Solution

The fourth proportional to 203,118, 280,299.42 and 112,472.02 is: 155,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,118 : 280,299.42 = 112,472.02 : x
  2. Step 2: Convert to fraction form
    203,118/280,299.42 = 112,472.02/x
  3. Step 3: Cross multiply
    203,118x = 280,299.42 × 112,472.02
  4. Step 4: Simplify right side
    203,118x = 31,525,841,972.23
  5. Step 5: Solve for x
    x = 31,525,841,972.23/203,118
  6. Step 6: Final answer
    x = 155,209.49

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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.