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Finding the Fourth Proportional to 138,709.34, 208,046.48 and 43,949.14

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Solution

The fourth proportional to 138,709.34, 208,046.48 and 43,949.14 is: 65,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,709.34 : 208,046.48 = 43,949.14 : x
  2. Step 2: Convert to fraction form
    138,709.34/208,046.48 = 43,949.14/x
  3. Step 3: Cross multiply
    138,709.34x = 208,046.48 × 43,949.14
  4. Step 4: Simplify right side
    138,709.34x = 9,143,464,092.12
  5. Step 5: Solve for x
    x = 9,143,464,092.12/138,709.34
  6. Step 6: Final answer
    x = 65,918.16

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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.