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Finding the Fourth Proportional to 206,596.20, 309,894.30 and 143,282.55

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Solution

The fourth proportional to 206,596.20, 309,894.30 and 143,282.55 is: 214,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.20 : 309,894.30 = 143,282.55 : x
  2. Step 2: Convert to fraction form
    206,596.20/309,894.30 = 143,282.55/x
  3. Step 3: Cross multiply
    206,596.20x = 309,894.30 × 143,282.55
  4. Step 4: Simplify right side
    206,596.20x = 44,402,445,534.47
  5. Step 5: Solve for x
    x = 44,402,445,534.47/206,596.20
  6. Step 6: Final answer
    x = 214,923.83

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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.