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Finding the Fourth Proportional to 206,770.95, 309,992.40 and 113,276.70

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Solution

The fourth proportional to 206,770.95, 309,992.40 and 113,276.70 is: 169,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.95 : 309,992.40 = 113,276.70 : x
  2. Step 2: Convert to fraction form
    206,770.95/309,992.40 = 113,276.70/x
  3. Step 3: Cross multiply
    206,770.95x = 309,992.40 × 113,276.70
  4. Step 4: Simplify right side
    206,770.95x = 35,114,916,097.08
  5. Step 5: Solve for x
    x = 35,114,916,097.08/206,770.95
  6. Step 6: Final answer
    x = 169,825.19

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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.