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Finding the Fourth Proportional to 106,172.80, 146,469.44 and 68,459.20

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Solution

The fourth proportional to 106,172.80, 146,469.44 and 68,459.20 is: 94,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,172.80 : 146,469.44 = 68,459.20 : x
  2. Step 2: Convert to fraction form
    106,172.80/146,469.44 = 68,459.20/x
  3. Step 3: Cross multiply
    106,172.80x = 146,469.44 × 68,459.20
  4. Step 4: Simplify right side
    106,172.80x = 10,027,180,686.85
  5. Step 5: Solve for x
    x = 10,027,180,686.85/106,172.80
  6. Step 6: Final answer
    x = 94,442.09

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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.