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Finding the Fourth Proportional to 203,042.64, 280,194.69 and 112,398.63

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Solution

The fourth proportional to 203,042.64, 280,194.69 and 112,398.63 is: 155,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,042.64 : 280,194.69 = 112,398.63 : x
  2. Step 2: Convert to fraction form
    203,042.64/280,194.69 = 112,398.63/x
  3. Step 3: Cross multiply
    203,042.64x = 280,194.69 × 112,398.63
  4. Step 4: Simplify right side
    203,042.64x = 31,493,499,289.27
  5. Step 5: Solve for x
    x = 31,493,499,289.27/203,042.64
  6. Step 6: Final answer
    x = 155,107.81

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1.5x scale

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.