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Finding the Fourth Proportional to 136,819.38, 205,214.63 and 64,755.03

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Solution

The fourth proportional to 136,819.38, 205,214.63 and 64,755.03 is: 97,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,819.38 : 205,214.63 = 64,755.03 : x
  2. Step 2: Convert to fraction form
    136,819.38/205,214.63 = 64,755.03/x
  3. Step 3: Cross multiply
    136,819.38x = 205,214.63 × 64,755.03
  4. Step 4: Simplify right side
    136,819.38x = 13,288,679,198.31
  5. Step 5: Solve for x
    x = 13,288,679,198.31/136,819.38
  6. Step 6: Final answer
    x = 97,125.71

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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.