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Finding the Fourth Proportional to 100,227.71, 138,310.64 and 57,209.42

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Solution

The fourth proportional to 100,227.71, 138,310.64 and 57,209.42 is: 78,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,227.71 : 138,310.64 = 57,209.42 : x
  2. Step 2: Convert to fraction form
    100,227.71/138,310.64 = 57,209.42/x
  3. Step 3: Cross multiply
    100,227.71x = 138,310.64 × 57,209.42
  4. Step 4: Simplify right side
    100,227.71x = 7,912,671,553.96
  5. Step 5: Solve for x
    x = 7,912,671,553.96/100,227.71
  6. Step 6: Final answer
    x = 78,946.94

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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.