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Finding the Fourth Proportional to 203,002, 280,143.31 and 112,364.21

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Solution

The fourth proportional to 203,002, 280,143.31 and 112,364.21 is: 155,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,002 : 280,143.31 = 112,364.21 : x
  2. Step 2: Convert to fraction form
    203,002/280,143.31 = 112,364.21/x
  3. Step 3: Cross multiply
    203,002x = 280,143.31 × 112,364.21
  4. Step 4: Simplify right side
    203,002x = 31,478,081,714.94
  5. Step 5: Solve for x
    x = 31,478,081,714.94/203,002
  6. Step 6: Final answer
    x = 155,062.91

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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.