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Finding the Fourth Proportional to 80,865.40, 121,293.96 and 30,969.40

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Solution

The fourth proportional to 80,865.40, 121,293.96 and 30,969.40 is: 46,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,865.40 : 121,293.96 = 30,969.40 : x
  2. Step 2: Convert to fraction form
    80,865.40/121,293.96 = 30,969.40/x
  3. Step 3: Cross multiply
    80,865.40x = 121,293.96 × 30,969.40
  4. Step 4: Simplify right side
    80,865.40x = 3,756,401,164.82
  5. Step 5: Solve for x
    x = 3,756,401,164.82/80,865.40
  6. Step 6: Final answer
    x = 46,452.51

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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.