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Finding the Fourth Proportional to 138,874.46, 191,665.84 and 85,149.98

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Solution

The fourth proportional to 138,874.46, 191,665.84 and 85,149.98 is: 117,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.46 : 191,665.84 = 85,149.98 : x
  2. Step 2: Convert to fraction form
    138,874.46/191,665.84 = 85,149.98/x
  3. Step 3: Cross multiply
    138,874.46x = 191,665.84 × 85,149.98
  4. Step 4: Simplify right side
    138,874.46x = 16,320,342,442.68
  5. Step 5: Solve for x
    x = 16,320,342,442.68/138,874.46
  6. Step 6: Final answer
    x = 117,518.67

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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.