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Finding the Fourth Proportional to 120,805.12, 179,983.04 and 114,856.64

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Solution

The fourth proportional to 120,805.12, 179,983.04 and 114,856.64 is: 171,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.12 : 179,983.04 = 114,856.64 : x
  2. Step 2: Convert to fraction form
    120,805.12/179,983.04 = 114,856.64/x
  3. Step 3: Cross multiply
    120,805.12x = 179,983.04 × 114,856.64
  4. Step 4: Simplify right side
    120,805.12x = 20,672,247,231.39
  5. Step 5: Solve for x
    x = 20,672,247,231.39/120,805.12
  6. Step 6: Final answer
    x = 171,120.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.