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Finding the Fourth Proportional to 206,310.68, 309,402.95 and 142,677.94

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Solution

The fourth proportional to 206,310.68, 309,402.95 and 142,677.94 is: 213,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,310.68 : 309,402.95 = 142,677.94 : x
  2. Step 2: Convert to fraction form
    206,310.68/309,402.95 = 142,677.94/x
  3. Step 3: Cross multiply
    206,310.68x = 309,402.95 × 142,677.94
  4. Step 4: Simplify right side
    206,310.68x = 44,144,975,119.11
  5. Step 5: Solve for x
    x = 44,144,975,119.11/206,310.68
  6. Step 6: Final answer
    x = 213,973.29

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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.