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Finding the Fourth Proportional to 137,788.76, 206,629.83 and 53,537.83

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Solution

The fourth proportional to 137,788.76, 206,629.83 and 53,537.83 is: 80,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,788.76 : 206,629.83 = 53,537.83 : x
  2. Step 2: Convert to fraction form
    137,788.76/206,629.83 = 53,537.83/x
  3. Step 3: Cross multiply
    137,788.76x = 206,629.83 × 53,537.83
  4. Step 4: Simplify right side
    137,788.76x = 11,062,513,047.05
  5. Step 5: Solve for x
    x = 11,062,513,047.05/137,788.76
  6. Step 6: Final answer
    x = 80,286.03

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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.