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Finding the Fourth Proportional to 138,861.96, 191,629.11 and 75,199.74

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Solution

The fourth proportional to 138,861.96, 191,629.11 and 75,199.74 is: 103,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,861.96 : 191,629.11 = 75,199.74 : x
  2. Step 2: Convert to fraction form
    138,861.96/191,629.11 = 75,199.74/x
  3. Step 3: Cross multiply
    138,861.96x = 191,629.11 × 75,199.74
  4. Step 4: Simplify right side
    138,861.96x = 14,410,459,248.43
  5. Step 5: Solve for x
    x = 14,410,459,248.43/138,861.96
  6. Step 6: Final answer
    x = 103,775.43

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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.