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Finding the Fourth Proportional to 106,043.85, 146,304.09 and 65,743.11

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Solution

The fourth proportional to 106,043.85, 146,304.09 and 65,743.11 is: 90,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.85 : 146,304.09 = 65,743.11 : x
  2. Step 2: Convert to fraction form
    106,043.85/146,304.09 = 65,743.11/x
  3. Step 3: Cross multiply
    106,043.85x = 146,304.09 × 65,743.11
  4. Step 4: Simplify right side
    106,043.85x = 9,618,485,882.32
  5. Step 5: Solve for x
    x = 9,618,485,882.32/106,043.85
  6. Step 6: Final answer
    x = 90,702.91

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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.