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Finding the Fourth Proportional to 106,500, 146,970 and 61,796.64

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Solution

The fourth proportional to 106,500, 146,970 and 61,796.64 is: 85,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500 : 146,970 = 61,796.64 : x
  2. Step 2: Convert to fraction form
    106,500/146,970 = 61,796.64/x
  3. Step 3: Cross multiply
    106,500x = 146,970 × 61,796.64
  4. Step 4: Simplify right side
    106,500x = 9,082,252,180.80
  5. Step 5: Solve for x
    x = 9,082,252,180.80/106,500
  6. Step 6: Final answer
    x = 85,279.36

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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.