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Finding the Fourth Proportional to 137,627.54, 206,391.72 and 47,645.81

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Solution

The fourth proportional to 137,627.54, 206,391.72 and 47,645.81 is: 71,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.54 : 206,391.72 = 47,645.81 : x
  2. Step 2: Convert to fraction form
    137,627.54/206,391.72 = 47,645.81/x
  3. Step 3: Cross multiply
    137,627.54x = 206,391.72 × 47,645.81
  4. Step 4: Simplify right side
    137,627.54x = 9,833,700,676.69
  5. Step 5: Solve for x
    x = 9,833,700,676.69/137,627.54
  6. Step 6: Final answer
    x = 71,451.55

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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.