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Finding the Fourth Proportional to 209,025.12, 313,322.88 and 82,614

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Solution

The fourth proportional to 209,025.12, 313,322.88 and 82,614 is: 123,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,025.12 : 313,322.88 = 82,614 : x
  2. Step 2: Convert to fraction form
    209,025.12/313,322.88 = 82,614/x
  3. Step 3: Cross multiply
    209,025.12x = 313,322.88 × 82,614
  4. Step 4: Simplify right side
    209,025.12x = 25,884,856,408.32
  5. Step 5: Solve for x
    x = 25,884,856,408.32/209,025.12
  6. Step 6: Final answer
    x = 123,836.10

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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.