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Finding the Fourth Proportional to 203,324.82, 280,584.22 and 112,678.91

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Solution

The fourth proportional to 203,324.82, 280,584.22 and 112,678.91 is: 155,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,324.82 : 280,584.22 = 112,678.91 : x
  2. Step 2: Convert to fraction form
    203,324.82/280,584.22 = 112,678.91/x
  3. Step 3: Cross multiply
    203,324.82x = 280,584.22 × 112,678.91
  4. Step 4: Simplify right side
    203,324.82x = 31,615,924,072.80
  5. Step 5: Solve for x
    x = 31,615,924,072.80/203,324.82
  6. Step 6: Final answer
    x = 155,494.66

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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.