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Finding the Fourth Proportional to 209,857.34, 289,687.11 and 124,958

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Solution

The fourth proportional to 209,857.34, 289,687.11 and 124,958 is: 172,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.34 : 289,687.11 = 124,958 : x
  2. Step 2: Convert to fraction form
    209,857.34/289,687.11 = 124,958/x
  3. Step 3: Cross multiply
    209,857.34x = 289,687.11 × 124,958
  4. Step 4: Simplify right side
    209,857.34x = 36,198,721,891.38
  5. Step 5: Solve for x
    x = 36,198,721,891.38/209,857.34
  6. Step 6: Final answer
    x = 172,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.