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Finding the Fourth Proportional to 204,622.80, 306,934.20 and 86,427.60

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Solution

The fourth proportional to 204,622.80, 306,934.20 and 86,427.60 is: 129,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,622.80 : 306,934.20 = 86,427.60 : x
  2. Step 2: Convert to fraction form
    204,622.80/306,934.20 = 86,427.60/x
  3. Step 3: Cross multiply
    204,622.80x = 306,934.20 × 86,427.60
  4. Step 4: Simplify right side
    204,622.80x = 26,527,586,263.92
  5. Step 5: Solve for x
    x = 26,527,586,263.92/204,622.80
  6. Step 6: Final answer
    x = 129,641.40

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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.