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Finding the Fourth Proportional to 80,894.25, 121,347.51 and 27,569.65

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Solution

The fourth proportional to 80,894.25, 121,347.51 and 27,569.65 is: 41,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894.25 : 121,347.51 = 27,569.65 : x
  2. Step 2: Convert to fraction form
    80,894.25/121,347.51 = 27,569.65/x
  3. Step 3: Cross multiply
    80,894.25x = 121,347.51 × 27,569.65
  4. Step 4: Simplify right side
    80,894.25x = 3,345,508,379.07
  5. Step 5: Solve for x
    x = 3,345,508,379.07/80,894.25
  6. Step 6: Final answer
    x = 41,356.57

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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.