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Finding the Fourth Proportional to 138,169.30, 207,363.30 and 53,969.80

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Solution

The fourth proportional to 138,169.30, 207,363.30 and 53,969.80 is: 80,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.30 : 207,363.30 = 53,969.80 : x
  2. Step 2: Convert to fraction form
    138,169.30/207,363.30 = 53,969.80/x
  3. Step 3: Cross multiply
    138,169.30x = 207,363.30 × 53,969.80
  4. Step 4: Simplify right side
    138,169.30x = 11,191,355,828.34
  5. Step 5: Solve for x
    x = 11,191,355,828.34/138,169.30
  6. Step 6: Final answer
    x = 80,997.41

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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.