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Finding the Fourth Proportional to 138,033.48, 206,910.72 and 53,741.10

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Solution

The fourth proportional to 138,033.48, 206,910.72 and 53,741.10 is: 80,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033.48 : 206,910.72 = 53,741.10 : x
  2. Step 2: Convert to fraction form
    138,033.48/206,910.72 = 53,741.10/x
  3. Step 3: Cross multiply
    138,033.48x = 206,910.72 × 53,741.10
  4. Step 4: Simplify right side
    138,033.48x = 11,119,609,694.59
  5. Step 5: Solve for x
    x = 11,119,609,694.59/138,033.48
  6. Step 6: Final answer
    x = 80,557.34

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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.