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Finding the Fourth Proportional to 138,606.64, 207,932.40 and 54,321.11

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Solution

The fourth proportional to 138,606.64, 207,932.40 and 54,321.11 is: 81,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606.64 : 207,932.40 = 54,321.11 : x
  2. Step 2: Convert to fraction form
    138,606.64/207,932.40 = 54,321.11/x
  3. Step 3: Cross multiply
    138,606.64x = 207,932.40 × 54,321.11
  4. Step 4: Simplify right side
    138,606.64x = 11,295,118,772.96
  5. Step 5: Solve for x
    x = 11,295,118,772.96/138,606.64
  6. Step 6: Final answer
    x = 81,490.46

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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.