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Finding the Fourth Proportional to 78,273.71, 117,428.48 and 33,907.85

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Solution

The fourth proportional to 78,273.71, 117,428.48 and 33,907.85 is: 50,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273.71 : 117,428.48 = 33,907.85 : x
  2. Step 2: Convert to fraction form
    78,273.71/117,428.48 = 33,907.85/x
  3. Step 3: Cross multiply
    78,273.71x = 117,428.48 × 33,907.85
  4. Step 4: Simplify right side
    78,273.71x = 3,981,746,528.89
  5. Step 5: Solve for x
    x = 3,981,746,528.89/78,273.71
  6. Step 6: Final answer
    x = 50,869.53

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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.