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Finding the Fourth Proportional to 135,782.67, 187,336.73 and 78,414.41

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Solution

The fourth proportional to 135,782.67, 187,336.73 and 78,414.41 is: 108,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782.67 : 187,336.73 = 78,414.41 : x
  2. Step 2: Convert to fraction form
    135,782.67/187,336.73 = 78,414.41/x
  3. Step 3: Cross multiply
    135,782.67x = 187,336.73 × 78,414.41
  4. Step 4: Simplify right side
    135,782.67x = 14,689,899,258.09
  5. Step 5: Solve for x
    x = 14,689,899,258.09/135,782.67
  6. Step 6: Final answer
    x = 108,186.85

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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.