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Finding the Fourth Proportional to 205,240.80, 307,861.20 and 126,098.40

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Solution

The fourth proportional to 205,240.80, 307,861.20 and 126,098.40 is: 189,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,240.80 : 307,861.20 = 126,098.40 : x
  2. Step 2: Convert to fraction form
    205,240.80/307,861.20 = 126,098.40/x
  3. Step 3: Cross multiply
    205,240.80x = 307,861.20 × 126,098.40
  4. Step 4: Simplify right side
    205,240.80x = 38,820,804,742.08
  5. Step 5: Solve for x
    x = 38,820,804,742.08/205,240.80
  6. Step 6: Final answer
    x = 189,147.60

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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.