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Finding the Fourth Proportional to 77,163.64, 106,489.96 and 43,170.11

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Solution

The fourth proportional to 77,163.64, 106,489.96 and 43,170.11 is: 59,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.64 : 106,489.96 = 43,170.11 : x
  2. Step 2: Convert to fraction form
    77,163.64/106,489.96 = 43,170.11/x
  3. Step 3: Cross multiply
    77,163.64x = 106,489.96 × 43,170.11
  4. Step 4: Simplify right side
    77,163.64x = 4,597,182,754.65
  5. Step 5: Solve for x
    x = 4,597,182,754.65/77,163.64
  6. Step 6: Final answer
    x = 59,577.06

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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.