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Finding the Fourth Proportional to 209,663, 289,341.42 and 120,239

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Solution

The fourth proportional to 209,663, 289,341.42 and 120,239 is: 165,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663 : 289,341.42 = 120,239 : x
  2. Step 2: Convert to fraction form
    209,663/289,341.42 = 120,239/x
  3. Step 3: Cross multiply
    209,663x = 289,341.42 × 120,239
  4. Step 4: Simplify right side
    209,663x = 34,790,122,999.38
  5. Step 5: Solve for x
    x = 34,790,122,999.38/209,663
  6. Step 6: Final answer
    x = 165,933.54

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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.