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Finding the Fourth Proportional to 206,392.50, 309,568.02 and 56,647.86

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Solution

The fourth proportional to 206,392.50, 309,568.02 and 56,647.86 is: 84,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,392.50 : 309,568.02 = 56,647.86 : x
  2. Step 2: Convert to fraction form
    206,392.50/309,568.02 = 56,647.86/x
  3. Step 3: Cross multiply
    206,392.50x = 309,568.02 × 56,647.86
  4. Step 4: Simplify right side
    206,392.50x = 17,536,365,857.44
  5. Step 5: Solve for x
    x = 17,536,365,857.44/206,392.50
  6. Step 6: Final answer
    x = 84,966.10

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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.