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Finding the Fourth Proportional to 205,808.40, 308,581.20 and 87,418.80

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Solution

The fourth proportional to 205,808.40, 308,581.20 and 87,418.80 is: 131,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,808.40 : 308,581.20 = 87,418.80 : x
  2. Step 2: Convert to fraction form
    205,808.40/308,581.20 = 87,418.80/x
  3. Step 3: Cross multiply
    205,808.40x = 308,581.20 × 87,418.80
  4. Step 4: Simplify right side
    205,808.40x = 26,975,798,206.56
  5. Step 5: Solve for x
    x = 26,975,798,206.56/205,808.40
  6. Step 6: Final answer
    x = 131,072.39

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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.