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Finding the Fourth Proportional to 204,858.30, 307,330.65 and 86,468.70

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Solution

The fourth proportional to 204,858.30, 307,330.65 and 86,468.70 is: 129,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,858.30 : 307,330.65 = 86,468.70 : x
  2. Step 2: Convert to fraction form
    204,858.30/307,330.65 = 86,468.70/x
  3. Step 3: Cross multiply
    204,858.30x = 307,330.65 × 86,468.70
  4. Step 4: Simplify right side
    204,858.30x = 26,574,481,775.66
  5. Step 5: Solve for x
    x = 26,574,481,775.66/204,858.30
  6. Step 6: Final answer
    x = 129,721.28

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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.