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Finding the Fourth Proportional to 136,584.30, 188,472.54 and 76,149.27

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Solution

The fourth proportional to 136,584.30, 188,472.54 and 76,149.27 is: 105,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,584.30 : 188,472.54 = 76,149.27 : x
  2. Step 2: Convert to fraction form
    136,584.30/188,472.54 = 76,149.27/x
  3. Step 3: Cross multiply
    136,584.30x = 188,472.54 × 76,149.27
  4. Step 4: Simplify right side
    136,584.30x = 14,352,046,336.05
  5. Step 5: Solve for x
    x = 14,352,046,336.05/136,584.30
  6. Step 6: Final answer
    x = 105,078.30

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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.