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Finding the Fourth Proportional to 206,662.68, 309,952.89 and 56,864.25

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Solution

The fourth proportional to 206,662.68, 309,952.89 and 56,864.25 is: 85,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.68 : 309,952.89 = 56,864.25 : x
  2. Step 2: Convert to fraction form
    206,662.68/309,952.89 = 56,864.25/x
  3. Step 3: Cross multiply
    206,662.68x = 309,952.89 × 56,864.25
  4. Step 4: Simplify right side
    206,662.68x = 17,625,238,625.18
  5. Step 5: Solve for x
    x = 17,625,238,625.18/206,662.68
  6. Step 6: Final answer
    x = 85,285.06

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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.