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Finding the Fourth Proportional to 203,474.67, 280,781.35 and 112,827.27

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Solution

The fourth proportional to 203,474.67, 280,781.35 and 112,827.27 is: 155,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.67 : 280,781.35 = 112,827.27 : x
  2. Step 2: Convert to fraction form
    203,474.67/280,781.35 = 112,827.27/x
  3. Step 3: Cross multiply
    203,474.67x = 280,781.35 × 112,827.27
  4. Step 4: Simplify right side
    203,474.67x = 31,679,793,187.41
  5. Step 5: Solve for x
    x = 31,679,793,187.41/203,474.67
  6. Step 6: Final answer
    x = 155,694.04

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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.