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Finding the Fourth Proportional to 137,353.82, 206,101.04 and 65,388.17

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Solution

The fourth proportional to 137,353.82, 206,101.04 and 65,388.17 is: 98,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.82 : 206,101.04 = 65,388.17 : x
  2. Step 2: Convert to fraction form
    137,353.82/206,101.04 = 65,388.17/x
  3. Step 3: Cross multiply
    137,353.82x = 206,101.04 × 65,388.17
  4. Step 4: Simplify right side
    137,353.82x = 13,476,568,483.25
  5. Step 5: Solve for x
    x = 13,476,568,483.25/137,353.82
  6. Step 6: Final answer
    x = 98,115.72

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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.