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Finding the Fourth Proportional to 138,072.72, 207,187.74 and 53,821.92

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Solution

The fourth proportional to 138,072.72, 207,187.74 and 53,821.92 is: 80,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072.72 : 207,187.74 = 53,821.92 : x
  2. Step 2: Convert to fraction form
    138,072.72/207,187.74 = 53,821.92/x
  3. Step 3: Cross multiply
    138,072.72x = 207,187.74 × 53,821.92
  4. Step 4: Simplify right side
    138,072.72x = 11,151,241,967.26
  5. Step 5: Solve for x
    x = 11,151,241,967.26/138,072.72
  6. Step 6: Final answer
    x = 80,763.54

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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.