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Finding the Fourth Proportional to 149,591, 206,421.20 and 82,518.68

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Solution

The fourth proportional to 149,591, 206,421.20 and 82,518.68 is: 113,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,591 : 206,421.20 = 82,518.68 : x
  2. Step 2: Convert to fraction form
    149,591/206,421.20 = 82,518.68/x
  3. Step 3: Cross multiply
    149,591x = 206,421.20 × 82,518.68
  4. Step 4: Simplify right side
    149,591x = 17,033,604,948.02
  5. Step 5: Solve for x
    x = 17,033,604,948.02/149,591
  6. Step 6: Final answer
    x = 113,867.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.