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Finding the Fourth Proportional to 264,113.36, 396,131.12 and 86,639.12

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Solution

The fourth proportional to 264,113.36, 396,131.12 and 86,639.12 is: 129,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,113.36 : 396,131.12 = 86,639.12 : x
  2. Step 2: Convert to fraction form
    264,113.36/396,131.12 = 86,639.12/x
  3. Step 3: Cross multiply
    264,113.36x = 396,131.12 × 86,639.12
  4. Step 4: Simplify right side
    264,113.36x = 34,320,451,641.41
  5. Step 5: Solve for x
    x = 34,320,451,641.41/264,113.36
  6. Step 6: Final answer
    x = 129,945.91

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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.