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Finding the Fourth Proportional to 206,477.56, 309,712.69 and 56,717.27

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Solution

The fourth proportional to 206,477.56, 309,712.69 and 56,717.27 is: 85,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,477.56 : 309,712.69 = 56,717.27 : x
  2. Step 2: Convert to fraction form
    206,477.56/309,712.69 = 56,717.27/x
  3. Step 3: Cross multiply
    206,477.56x = 309,712.69 × 56,717.27
  4. Step 4: Simplify right side
    206,477.56x = 17,566,056,570.80
  5. Step 5: Solve for x
    x = 17,566,056,570.80/206,477.56
  6. Step 6: Final answer
    x = 85,074.90

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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.