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Finding the Fourth Proportional to 120,141.72, 165,800.28 and 79,785.90

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Solution

The fourth proportional to 120,141.72, 165,800.28 and 79,785.90 is: 110,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141.72 : 165,800.28 = 79,785.90 : x
  2. Step 2: Convert to fraction form
    120,141.72/165,800.28 = 79,785.90/x
  3. Step 3: Cross multiply
    120,141.72x = 165,800.28 × 79,785.90
  4. Step 4: Simplify right side
    120,141.72x = 13,228,524,560.05
  5. Step 5: Solve for x
    x = 13,228,524,560.05/120,141.72
  6. Step 6: Final answer
    x = 110,107.67

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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.