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Finding the Fourth Proportional to 135,876, 187,511.76 and 76,260

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Solution

The fourth proportional to 135,876, 187,511.76 and 76,260 is: 105,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,876 : 187,511.76 = 76,260 : x
  2. Step 2: Convert to fraction form
    135,876/187,511.76 = 76,260/x
  3. Step 3: Cross multiply
    135,876x = 187,511.76 × 76,260
  4. Step 4: Simplify right side
    135,876x = 14,299,646,817.60
  5. Step 5: Solve for x
    x = 14,299,646,817.60/135,876
  6. Step 6: Final answer
    x = 105,240.42

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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.