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Finding the Fourth Proportional to 203,321.34, 280,584.09 and 112,678.83

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Solution

The fourth proportional to 203,321.34, 280,584.09 and 112,678.83 is: 155,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,321.34 : 280,584.09 = 112,678.83 : x
  2. Step 2: Convert to fraction form
    203,321.34/280,584.09 = 112,678.83/x
  3. Step 3: Cross multiply
    203,321.34x = 280,584.09 × 112,678.83
  4. Step 4: Simplify right side
    203,321.34x = 31,615,886,977.81
  5. Step 5: Solve for x
    x = 31,615,886,977.81/203,321.34
  6. Step 6: Final answer
    x = 155,497.14

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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.