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Finding the Fourth Proportional to 106,433.70, 146,801.31 and 72,381.66

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Solution

The fourth proportional to 106,433.70, 146,801.31 and 72,381.66 is: 99,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433.70 : 146,801.31 = 72,381.66 : x
  2. Step 2: Convert to fraction form
    106,433.70/146,801.31 = 72,381.66/x
  3. Step 3: Cross multiply
    106,433.70x = 146,801.31 × 72,381.66
  4. Step 4: Simplify right side
    106,433.70x = 10,625,722,507.97
  5. Step 5: Solve for x
    x = 10,625,722,507.97/106,433.70
  6. Step 6: Final answer
    x = 99,834.19

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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.