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Finding the Fourth Proportional to 137,764.62, 206,449.59 and 78,477.87

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Solution

The fourth proportional to 137,764.62, 206,449.59 and 78,477.87 is: 117,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764.62 : 206,449.59 = 78,477.87 : x
  2. Step 2: Convert to fraction form
    137,764.62/206,449.59 = 78,477.87/x
  3. Step 3: Cross multiply
    137,764.62x = 206,449.59 × 78,477.87
  4. Step 4: Simplify right side
    137,764.62x = 16,201,724,085.57
  5. Step 5: Solve for x
    x = 16,201,724,085.57/137,764.62
  6. Step 6: Final answer
    x = 117,604.39

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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.