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Finding the Fourth Proportional to 138,997.12, 191,811.36 and 82,374.88

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Solution

The fourth proportional to 138,997.12, 191,811.36 and 82,374.88 is: 113,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,997.12 : 191,811.36 = 82,374.88 : x
  2. Step 2: Convert to fraction form
    138,997.12/191,811.36 = 82,374.88/x
  3. Step 3: Cross multiply
    138,997.12x = 191,811.36 × 82,374.88
  4. Step 4: Simplify right side
    138,997.12x = 15,800,437,762.64
  5. Step 5: Solve for x
    x = 15,800,437,762.64/138,997.12
  6. Step 6: Final answer
    x = 113,674.57

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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.