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Finding the Fourth Proportional to 137,166.20, 205,749.30 and 84,404.60

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Solution

The fourth proportional to 137,166.20, 205,749.30 and 84,404.60 is: 126,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.20 : 205,749.30 = 84,404.60 : x
  2. Step 2: Convert to fraction form
    137,166.20/205,749.30 = 84,404.60/x
  3. Step 3: Cross multiply
    137,166.20x = 205,749.30 × 84,404.60
  4. Step 4: Simplify right side
    137,166.20x = 17,366,187,366.78
  5. Step 5: Solve for x
    x = 17,366,187,366.78/137,166.20
  6. Step 6: Final answer
    x = 126,606.90

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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.