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Finding the Fourth Proportional to 205,092.60, 307,638.90 and 149,105.40

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Solution

The fourth proportional to 205,092.60, 307,638.90 and 149,105.40 is: 223,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,092.60 : 307,638.90 = 149,105.40 : x
  2. Step 2: Convert to fraction form
    205,092.60/307,638.90 = 149,105.40/x
  3. Step 3: Cross multiply
    205,092.60x = 307,638.90 × 149,105.40
  4. Step 4: Simplify right side
    205,092.60x = 45,870,621,240.06
  5. Step 5: Solve for x
    x = 45,870,621,240.06/205,092.60
  6. Step 6: Final answer
    x = 223,658.10

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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.