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Finding the Fourth Proportional to 204,995.32, 307,505.94 and 86,651.08

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Solution

The fourth proportional to 204,995.32, 307,505.94 and 86,651.08 is: 129,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,995.32 : 307,505.94 = 86,651.08 : x
  2. Step 2: Convert to fraction form
    204,995.32/307,505.94 = 86,651.08/x
  3. Step 3: Cross multiply
    204,995.32x = 307,505.94 × 86,651.08
  4. Step 4: Simplify right side
    204,995.32x = 26,645,721,807.42
  5. Step 5: Solve for x
    x = 26,645,721,807.42/204,995.32
  6. Step 6: Final answer
    x = 129,982.10

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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.