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Finding the Fourth Proportional to 206,388.52, 309,562 and 56,643.86

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Solution

The fourth proportional to 206,388.52, 309,562 and 56,643.86 is: 84,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,388.52 : 309,562 = 56,643.86 : x
  2. Step 2: Convert to fraction form
    206,388.52/309,562 = 56,643.86/x
  3. Step 3: Cross multiply
    206,388.52x = 309,562 × 56,643.86
  4. Step 4: Simplify right side
    206,388.52x = 17,534,786,589.32
  5. Step 5: Solve for x
    x = 17,534,786,589.32/206,388.52
  6. Step 6: Final answer
    x = 84,960.09

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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.