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Finding the Fourth Proportional to 138,069.50, 206,840.40 and 115,723.22

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Solution

The fourth proportional to 138,069.50, 206,840.40 and 115,723.22 is: 173,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,069.50 : 206,840.40 = 115,723.22 : x
  2. Step 2: Convert to fraction form
    138,069.50/206,840.40 = 115,723.22/x
  3. Step 3: Cross multiply
    138,069.50x = 206,840.40 × 115,723.22
  4. Step 4: Simplify right side
    138,069.50x = 23,936,237,114.09
  5. Step 5: Solve for x
    x = 23,936,237,114.09/138,069.50
  6. Step 6: Final answer
    x = 173,363.68

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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.