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Finding the Fourth Proportional to 203,497.57, 280,827.40 and 112,861.91

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Solution

The fourth proportional to 203,497.57, 280,827.40 and 112,861.91 is: 155,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.57 : 280,827.40 = 112,861.91 : x
  2. Step 2: Convert to fraction form
    203,497.57/280,827.40 = 112,861.91/x
  3. Step 3: Cross multiply
    203,497.57x = 280,827.40 × 112,861.91
  4. Step 4: Simplify right side
    203,497.57x = 31,694,715,796.21
  5. Step 5: Solve for x
    x = 31,694,715,796.21/203,497.57
  6. Step 6: Final answer
    x = 155,749.85

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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.