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Finding the Fourth Proportional to 106,300, 146,694 and 58,553.20

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Solution

The fourth proportional to 106,300, 146,694 and 58,553.20 is: 80,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,300 : 146,694 = 58,553.20 : x
  2. Step 2: Convert to fraction form
    106,300/146,694 = 58,553.20/x
  3. Step 3: Cross multiply
    106,300x = 146,694 × 58,553.20
  4. Step 4: Simplify right side
    106,300x = 8,589,403,120.80
  5. Step 5: Solve for x
    x = 8,589,403,120.80/106,300
  6. Step 6: Final answer
    x = 80,803.42

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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.