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Finding the Fourth Proportional to 138,105.30, 207,267.30 and 53,905.80

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Solution

The fourth proportional to 138,105.30, 207,267.30 and 53,905.80 is: 80,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,105.30 : 207,267.30 = 53,905.80 : x
  2. Step 2: Convert to fraction form
    138,105.30/207,267.30 = 53,905.80/x
  3. Step 3: Cross multiply
    138,105.30x = 207,267.30 × 53,905.80
  4. Step 4: Simplify right side
    138,105.30x = 11,172,909,620.34
  5. Step 5: Solve for x
    x = 11,172,909,620.34/138,105.30
  6. Step 6: Final answer
    x = 80,901.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.