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Finding the Fourth Proportional to 137,999.80, 206,744.55 and 78,659.20

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Solution

The fourth proportional to 137,999.80, 206,744.55 and 78,659.20 is: 117,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,999.80 : 206,744.55 = 78,659.20 : x
  2. Step 2: Convert to fraction form
    137,999.80/206,744.55 = 78,659.20/x
  3. Step 3: Cross multiply
    137,999.80x = 206,744.55 × 78,659.20
  4. Step 4: Simplify right side
    137,999.80x = 16,262,360,907.36
  5. Step 5: Solve for x
    x = 16,262,360,907.36/137,999.80
  6. Step 6: Final answer
    x = 117,843.37

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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.