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Finding the Fourth Proportional to 209,766.30, 289,363.77 and 124,866.96

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Solution

The fourth proportional to 209,766.30, 289,363.77 and 124,866.96 is: 172,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,766.30 : 289,363.77 = 124,866.96 : x
  2. Step 2: Convert to fraction form
    209,766.30/289,363.77 = 124,866.96/x
  3. Step 3: Cross multiply
    209,766.30x = 289,363.77 × 124,866.96
  4. Step 4: Simplify right side
    209,766.30x = 36,131,974,294.04
  5. Step 5: Solve for x
    x = 36,131,974,294.04/209,766.30
  6. Step 6: Final answer
    x = 172,248.71

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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.