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Finding the Fourth Proportional to 137,720.62, 206,582.74 and 78,485.72

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Solution

The fourth proportional to 137,720.62, 206,582.74 and 78,485.72 is: 117,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.62 : 206,582.74 = 78,485.72 : x
  2. Step 2: Convert to fraction form
    137,720.62/206,582.74 = 78,485.72/x
  3. Step 3: Cross multiply
    137,720.62x = 206,582.74 × 78,485.72
  4. Step 4: Simplify right side
    137,720.62x = 16,213,795,088.47
  5. Step 5: Solve for x
    x = 16,213,795,088.47/137,720.62
  6. Step 6: Final answer
    x = 117,729.61

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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.