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Finding the Fourth Proportional to 206,579.77, 309,818.62 and 56,812.79

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Solution

The fourth proportional to 206,579.77, 309,818.62 and 56,812.79 is: 85,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,579.77 : 309,818.62 = 56,812.79 : x
  2. Step 2: Convert to fraction form
    206,579.77/309,818.62 = 56,812.79/x
  3. Step 3: Cross multiply
    206,579.77x = 309,818.62 × 56,812.79
  4. Step 4: Simplify right side
    206,579.77x = 17,601,661,041.71
  5. Step 5: Solve for x
    x = 17,601,661,041.71/206,579.77
  6. Step 6: Final answer
    x = 85,205.15

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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.