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Finding the Fourth Proportional to 203,313.57, 280,574.31 and 112,671

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Solution

The fourth proportional to 203,313.57, 280,574.31 and 112,671 is: 155,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,313.57 : 280,574.31 = 112,671 : x
  2. Step 2: Convert to fraction form
    203,313.57/280,574.31 = 112,671/x
  3. Step 3: Cross multiply
    203,313.57x = 280,574.31 × 112,671
  4. Step 4: Simplify right side
    203,313.57x = 31,612,587,553.86
  5. Step 5: Solve for x
    x = 31,612,587,553.86/203,313.57
  6. Step 6: Final answer
    x = 155,486.86

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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.