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Finding the Fourth Proportional to 206,140.66, 309,206.62 and 56,380.95

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Solution

The fourth proportional to 206,140.66, 309,206.62 and 56,380.95 is: 84,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,140.66 : 309,206.62 = 56,380.95 : x
  2. Step 2: Convert to fraction form
    206,140.66/309,206.62 = 56,380.95/x
  3. Step 3: Cross multiply
    206,140.66x = 309,206.62 × 56,380.95
  4. Step 4: Simplify right side
    206,140.66x = 17,433,363,604.87
  5. Step 5: Solve for x
    x = 17,433,363,604.87/206,140.66
  6. Step 6: Final answer
    x = 84,570.23

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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.