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Finding the Fourth Proportional to 120,765.12, 180,978.96 and 102,902.48

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Solution

The fourth proportional to 120,765.12, 180,978.96 and 102,902.48 is: 154,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765.12 : 180,978.96 = 102,902.48 : x
  2. Step 2: Convert to fraction form
    120,765.12/180,978.96 = 102,902.48/x
  3. Step 3: Cross multiply
    120,765.12x = 180,978.96 × 102,902.48
  4. Step 4: Simplify right side
    120,765.12x = 18,623,183,811.82
  5. Step 5: Solve for x
    x = 18,623,183,811.82/120,765.12
  6. Step 6: Final answer
    x = 154,209.96

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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.