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Finding the Fourth Proportional to 78,028.76, 116,972.87 and 28,073.73

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Solution

The fourth proportional to 78,028.76, 116,972.87 and 28,073.73 is: 42,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,028.76 : 116,972.87 = 28,073.73 : x
  2. Step 2: Convert to fraction form
    78,028.76/116,972.87 = 28,073.73/x
  3. Step 3: Cross multiply
    78,028.76x = 116,972.87 × 28,073.73
  4. Step 4: Simplify right side
    78,028.76x = 3,283,864,629.34
  5. Step 5: Solve for x
    x = 3,283,864,629.34/78,028.76
  6. Step 6: Final answer
    x = 42,085.31

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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.