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Finding the Fourth Proportional to 89,745.20, 134,617.80 and 77,279.30

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Solution

The fourth proportional to 89,745.20, 134,617.80 and 77,279.30 is: 115,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,745.20 : 134,617.80 = 77,279.30 : x
  2. Step 2: Convert to fraction form
    89,745.20/134,617.80 = 77,279.30/x
  3. Step 3: Cross multiply
    89,745.20x = 134,617.80 × 77,279.30
  4. Step 4: Simplify right side
    89,745.20x = 10,403,169,351.54
  5. Step 5: Solve for x
    x = 10,403,169,351.54/89,745.20
  6. Step 6: Final answer
    x = 115,918.95

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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.