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Finding the Fourth Proportional to 107,616.40, 161,424.60 and 68,045.20

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Solution

The fourth proportional to 107,616.40, 161,424.60 and 68,045.20 is: 102,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,616.40 : 161,424.60 = 68,045.20 : x
  2. Step 2: Convert to fraction form
    107,616.40/161,424.60 = 68,045.20/x
  3. Step 3: Cross multiply
    107,616.40x = 161,424.60 × 68,045.20
  4. Step 4: Simplify right side
    107,616.40x = 10,984,169,191.92
  5. Step 5: Solve for x
    x = 10,984,169,191.92/107,616.40
  6. Step 6: Final answer
    x = 102,067.80

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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.