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Finding the Fourth Proportional to 137,318.20, 205,977.30 and 84,556.60

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Solution

The fourth proportional to 137,318.20, 205,977.30 and 84,556.60 is: 126,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,318.20 : 205,977.30 = 84,556.60 : x
  2. Step 2: Convert to fraction form
    137,318.20/205,977.30 = 84,556.60/x
  3. Step 3: Cross multiply
    137,318.20x = 205,977.30 × 84,556.60
  4. Step 4: Simplify right side
    137,318.20x = 17,416,740,165.18
  5. Step 5: Solve for x
    x = 17,416,740,165.18/137,318.20
  6. Step 6: Final answer
    x = 126,834.90

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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.