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Finding the Fourth Proportional to 136,516.39, 204,866.85 and 47,770.66

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Solution

The fourth proportional to 136,516.39, 204,866.85 and 47,770.66 is: 71,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,516.39 : 204,866.85 = 47,770.66 : x
  2. Step 2: Convert to fraction form
    136,516.39/204,866.85 = 47,770.66/x
  3. Step 3: Cross multiply
    136,516.39x = 204,866.85 × 47,770.66
  4. Step 4: Simplify right side
    136,516.39x = 9,786,624,668.78
  5. Step 5: Solve for x
    x = 9,786,624,668.78/136,516.39
  6. Step 6: Final answer
    x = 71,688.28

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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.