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Finding the Fourth Proportional to 307,542.56, 461,391.54 and 85,926.56

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Solution

The fourth proportional to 307,542.56, 461,391.54 and 85,926.56 is: 128,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,542.56 : 461,391.54 = 85,926.56 : x
  2. Step 2: Convert to fraction form
    307,542.56/461,391.54 = 85,926.56/x
  3. Step 3: Cross multiply
    307,542.56x = 461,391.54 × 85,926.56
  4. Step 4: Simplify right side
    307,542.56x = 39,645,787,845.30
  5. Step 5: Solve for x
    x = 39,645,787,845.30/307,542.56
  6. Step 6: Final answer
    x = 128,911.55

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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.