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Finding the Fourth Proportional to 106,540.68, 159,800.07 and 66,977.85

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Solution

The fourth proportional to 106,540.68, 159,800.07 and 66,977.85 is: 100,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.68 : 159,800.07 = 66,977.85 : x
  2. Step 2: Convert to fraction form
    106,540.68/159,800.07 = 66,977.85/x
  3. Step 3: Cross multiply
    106,540.68x = 159,800.07 × 66,977.85
  4. Step 4: Simplify right side
    106,540.68x = 10,703,065,118.45
  5. Step 5: Solve for x
    x = 10,703,065,118.45/106,540.68
  6. Step 6: Final answer
    x = 100,459.89

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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.