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Finding the Fourth Proportional to 136,099.72, 187,823.87 and 75,676.57

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Solution

The fourth proportional to 136,099.72, 187,823.87 and 75,676.57 is: 104,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,099.72 : 187,823.87 = 75,676.57 : x
  2. Step 2: Convert to fraction form
    136,099.72/187,823.87 = 75,676.57/x
  3. Step 3: Cross multiply
    136,099.72x = 187,823.87 × 75,676.57
  4. Step 4: Simplify right side
    136,099.72x = 14,213,866,245.73
  5. Step 5: Solve for x
    x = 14,213,866,245.73/136,099.72
  6. Step 6: Final answer
    x = 104,437.15

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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.