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Finding the Fourth Proportional to 204,873.30, 307,200.60 and 86,410.80

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Solution

The fourth proportional to 204,873.30, 307,200.60 and 86,410.80 is: 129,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,873.30 : 307,200.60 = 86,410.80 : x
  2. Step 2: Convert to fraction form
    204,873.30/307,200.60 = 86,410.80/x
  3. Step 3: Cross multiply
    204,873.30x = 307,200.60 × 86,410.80
  4. Step 4: Simplify right side
    204,873.30x = 26,545,449,606.48
  5. Step 5: Solve for x
    x = 26,545,449,606.48/204,873.30
  6. Step 6: Final answer
    x = 129,570.08

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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.