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Finding the Fourth Proportional to 138,778.36, 208,028.70 and 63,952.54

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Solution

The fourth proportional to 138,778.36, 208,028.70 and 63,952.54 is: 95,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,778.36 : 208,028.70 = 63,952.54 : x
  2. Step 2: Convert to fraction form
    138,778.36/208,028.70 = 63,952.54/x
  3. Step 3: Cross multiply
    138,778.36x = 208,028.70 × 63,952.54
  4. Step 4: Simplify right side
    138,778.36x = 13,303,963,757.90
  5. Step 5: Solve for x
    x = 13,303,963,757.90/138,778.36
  6. Step 6: Final answer
    x = 95,864.83

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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.