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Finding the Fourth Proportional to 77,520.08, 106,978.44 and 43,983.44

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Solution

The fourth proportional to 77,520.08, 106,978.44 and 43,983.44 is: 60,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520.08 : 106,978.44 = 43,983.44 : x
  2. Step 2: Convert to fraction form
    77,520.08/106,978.44 = 43,983.44/x
  3. Step 3: Cross multiply
    77,520.08x = 106,978.44 × 43,983.44
  4. Step 4: Simplify right side
    77,520.08x = 4,705,279,797.03
  5. Step 5: Solve for x
    x = 4,705,279,797.03/77,520.08
  6. Step 6: Final answer
    x = 60,697.56

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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.