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Finding the Fourth Proportional to 80,351.02, 120,477.90 and 35,969.50

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Solution

The fourth proportional to 80,351.02, 120,477.90 and 35,969.50 is: 53,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,351.02 : 120,477.90 = 35,969.50 : x
  2. Step 2: Convert to fraction form
    80,351.02/120,477.90 = 35,969.50/x
  3. Step 3: Cross multiply
    80,351.02x = 120,477.90 × 35,969.50
  4. Step 4: Simplify right side
    80,351.02x = 4,333,529,824.05
  5. Step 5: Solve for x
    x = 4,333,529,824.05/80,351.02
  6. Step 6: Final answer
    x = 53,932.48

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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.