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Finding the Fourth Proportional to 138,364.96, 207,631.44 and 55,252

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Solution

The fourth proportional to 138,364.96, 207,631.44 and 55,252 is: 82,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.96 : 207,631.44 = 55,252 : x
  2. Step 2: Convert to fraction form
    138,364.96/207,631.44 = 55,252/x
  3. Step 3: Cross multiply
    138,364.96x = 207,631.44 × 55,252
  4. Step 4: Simplify right side
    138,364.96x = 11,472,052,322.88
  5. Step 5: Solve for x
    x = 11,472,052,322.88/138,364.96
  6. Step 6: Final answer
    x = 82,911.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.