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Finding the Fourth Proportional to 264,039.60, 396,059.40 and 86,564.55

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Solution

The fourth proportional to 264,039.60, 396,059.40 and 86,564.55 is: 129,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,039.60 : 396,059.40 = 86,564.55 : x
  2. Step 2: Convert to fraction form
    264,039.60/396,059.40 = 86,564.55/x
  3. Step 3: Cross multiply
    264,039.60x = 396,059.40 × 86,564.55
  4. Step 4: Simplify right side
    264,039.60x = 34,284,703,734.27
  5. Step 5: Solve for x
    x = 34,284,703,734.27/264,039.60
  6. Step 6: Final answer
    x = 129,846.83

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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.