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Finding the Fourth Proportional to 117,169.82, 161,710.44 and 71,839.78

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Solution

The fourth proportional to 117,169.82, 161,710.44 and 71,839.78 is: 99,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,169.82 : 161,710.44 = 71,839.78 : x
  2. Step 2: Convert to fraction form
    117,169.82/161,710.44 = 71,839.78/x
  3. Step 3: Cross multiply
    117,169.82x = 161,710.44 × 71,839.78
  4. Step 4: Simplify right side
    117,169.82x = 11,617,242,433.30
  5. Step 5: Solve for x
    x = 11,617,242,433.30/117,169.82
  6. Step 6: Final answer
    x = 99,148.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.