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Finding the Fourth Proportional to 206,483.18, 309,721.13 and 56,722.90

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Solution

The fourth proportional to 206,483.18, 309,721.13 and 56,722.90 is: 85,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.18 : 309,721.13 = 56,722.90 : x
  2. Step 2: Convert to fraction form
    206,483.18/309,721.13 = 56,722.90/x
  3. Step 3: Cross multiply
    206,483.18x = 309,721.13 × 56,722.90
  4. Step 4: Simplify right side
    206,483.18x = 17,568,280,684.88
  5. Step 5: Solve for x
    x = 17,568,280,684.88/206,483.18
  6. Step 6: Final answer
    x = 85,083.35

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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.