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Finding the Fourth Proportional to 206,160.60, 308,715.88 and 135,826.68

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Solution

The fourth proportional to 206,160.60, 308,715.88 and 135,826.68 is: 203,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,160.60 : 308,715.88 = 135,826.68 : x
  2. Step 2: Convert to fraction form
    206,160.60/308,715.88 = 135,826.68/x
  3. Step 3: Cross multiply
    206,160.60x = 308,715.88 × 135,826.68
  4. Step 4: Simplify right side
    206,160.60x = 41,931,853,043.68
  5. Step 5: Solve for x
    x = 41,931,853,043.68/206,160.60
  6. Step 6: Final answer
    x = 203,394.12

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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.