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Finding the Fourth Proportional to 204,855.60, 307,283.40 and 125,713.20

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Solution

The fourth proportional to 204,855.60, 307,283.40 and 125,713.20 is: 188,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,855.60 : 307,283.40 = 125,713.20 : x
  2. Step 2: Convert to fraction form
    204,855.60/307,283.40 = 125,713.20/x
  3. Step 3: Cross multiply
    204,855.60x = 307,283.40 × 125,713.20
  4. Step 4: Simplify right side
    204,855.60x = 38,629,579,520.88
  5. Step 5: Solve for x
    x = 38,629,579,520.88/204,855.60
  6. Step 6: Final answer
    x = 188,569.80

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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.