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Finding the Fourth Proportional to 138,889.30, 208,056.46 and 63,906.64

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Solution

The fourth proportional to 138,889.30, 208,056.46 and 63,906.64 is: 95,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,889.30 : 208,056.46 = 63,906.64 : x
  2. Step 2: Convert to fraction form
    138,889.30/208,056.46 = 63,906.64/x
  3. Step 3: Cross multiply
    138,889.30x = 208,056.46 × 63,906.64
  4. Step 4: Simplify right side
    138,889.30x = 13,296,189,288.89
  5. Step 5: Solve for x
    x = 13,296,189,288.89/138,889.30
  6. Step 6: Final answer
    x = 95,732.28

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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.