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Finding the Fourth Proportional to 138,956.77, 208,435.16 and 33,775.57

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Solution

The fourth proportional to 138,956.77, 208,435.16 and 33,775.57 is: 50,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956.77 : 208,435.16 = 33,775.57 : x
  2. Step 2: Convert to fraction form
    138,956.77/208,435.16 = 33,775.57/x
  3. Step 3: Cross multiply
    138,956.77x = 208,435.16 × 33,775.57
  4. Step 4: Simplify right side
    138,956.77x = 7,040,016,337.04
  5. Step 5: Solve for x
    x = 7,040,016,337.04/138,956.77
  6. Step 6: Final answer
    x = 50,663.36

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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.