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Finding the Fourth Proportional to 86,920.19, 119,929.30 and 49,194.44

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Solution

The fourth proportional to 86,920.19, 119,929.30 and 49,194.44 is: 67,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920.19 : 119,929.30 = 49,194.44 : x
  2. Step 2: Convert to fraction form
    86,920.19/119,929.30 = 49,194.44/x
  3. Step 3: Cross multiply
    86,920.19x = 119,929.30 × 49,194.44
  4. Step 4: Simplify right side
    86,920.19x = 5,899,853,907.47
  5. Step 5: Solve for x
    x = 5,899,853,907.47/86,920.19
  6. Step 6: Final answer
    x = 67,876.68

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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.