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Finding the Fourth Proportional to 80,964.90, 121,410.90 and 31,028.40

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Solution

The fourth proportional to 80,964.90, 121,410.90 and 31,028.40 is: 46,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,964.90 : 121,410.90 = 31,028.40 : x
  2. Step 2: Convert to fraction form
    80,964.90/121,410.90 = 31,028.40/x
  3. Step 3: Cross multiply
    80,964.90x = 121,410.90 × 31,028.40
  4. Step 4: Simplify right side
    80,964.90x = 3,767,185,969.56
  5. Step 5: Solve for x
    x = 3,767,185,969.56/80,964.90
  6. Step 6: Final answer
    x = 46,528.63

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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.