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Finding the Fourth Proportional to 137,181.60, 205,772.40 and 78,132.60

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Solution

The fourth proportional to 137,181.60, 205,772.40 and 78,132.60 is: 117,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,181.60 : 205,772.40 = 78,132.60 : x
  2. Step 2: Convert to fraction form
    137,181.60/205,772.40 = 78,132.60/x
  3. Step 3: Cross multiply
    137,181.60x = 205,772.40 × 78,132.60
  4. Step 4: Simplify right side
    137,181.60x = 16,077,532,620.24
  5. Step 5: Solve for x
    x = 16,077,532,620.24/137,181.60
  6. Step 6: Final answer
    x = 117,198.90

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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.