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Finding the Fourth Proportional to 137,790.80, 206,686.20 and 122,757.20

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Solution

The fourth proportional to 137,790.80, 206,686.20 and 122,757.20 is: 184,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,790.80 : 206,686.20 = 122,757.20 : x
  2. Step 2: Convert to fraction form
    137,790.80/206,686.20 = 122,757.20/x
  3. Step 3: Cross multiply
    137,790.80x = 206,686.20 × 122,757.20
  4. Step 4: Simplify right side
    137,790.80x = 25,372,219,190.64
  5. Step 5: Solve for x
    x = 25,372,219,190.64/137,790.80
  6. Step 6: Final answer
    x = 184,135.80

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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.