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Finding the Fourth Proportional to 136,715.70, 205,059.09 and 36,869.72

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Solution

The fourth proportional to 136,715.70, 205,059.09 and 36,869.72 is: 55,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,715.70 : 205,059.09 = 36,869.72 : x
  2. Step 2: Convert to fraction form
    136,715.70/205,059.09 = 36,869.72/x
  3. Step 3: Cross multiply
    136,715.70x = 205,059.09 × 36,869.72
  4. Step 4: Simplify right side
    136,715.70x = 7,560,471,231.75
  5. Step 5: Solve for x
    x = 7,560,471,231.75/136,715.70
  6. Step 6: Final answer
    x = 55,300.68

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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.