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Finding the Fourth Proportional to 77,154.80, 106,471.17 and 43,163.88

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Solution

The fourth proportional to 77,154.80, 106,471.17 and 43,163.88 is: 59,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.80 : 106,471.17 = 43,163.88 : x
  2. Step 2: Convert to fraction form
    77,154.80/106,471.17 = 43,163.88/x
  3. Step 3: Cross multiply
    77,154.80x = 106,471.17 × 43,163.88
  4. Step 4: Simplify right side
    77,154.80x = 4,595,708,406.07
  5. Step 5: Solve for x
    x = 4,595,708,406.07/77,154.80
  6. Step 6: Final answer
    x = 59,564.78

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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.