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Finding the Fourth Proportional to 205,980.39, 309,488.22 and 131,133.96

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Solution

The fourth proportional to 205,980.39, 309,488.22 and 131,133.96 is: 197,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,980.39 : 309,488.22 = 131,133.96 : x
  2. Step 2: Convert to fraction form
    205,980.39/309,488.22 = 131,133.96/x
  3. Step 3: Cross multiply
    205,980.39x = 309,488.22 × 131,133.96
  4. Step 4: Simplify right side
    205,980.39x = 40,584,415,861.95
  5. Step 5: Solve for x
    x = 40,584,415,861.95/205,980.39
  6. Step 6: Final answer
    x = 197,030.48

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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.