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Finding the Fourth Proportional to 203,120.31, 280,305.59 and 117,078.71

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Solution

The fourth proportional to 203,120.31, 280,305.59 and 117,078.71 is: 161,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,120.31 : 280,305.59 = 117,078.71 : x
  2. Step 2: Convert to fraction form
    203,120.31/280,305.59 = 117,078.71/x
  3. Step 3: Cross multiply
    203,120.31x = 280,305.59 × 117,078.71
  4. Step 4: Simplify right side
    203,120.31x = 32,817,814,896.07
  5. Step 5: Solve for x
    x = 32,817,814,896.07/203,120.31
  6. Step 6: Final answer
    x = 161,568.36

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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.