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Finding the Fourth Proportional to 106,422.97, 146,711.10 and 83,722.54

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Solution

The fourth proportional to 106,422.97, 146,711.10 and 83,722.54 is: 115,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422.97 : 146,711.10 = 83,722.54 : x
  2. Step 2: Convert to fraction form
    106,422.97/146,711.10 = 83,722.54/x
  3. Step 3: Cross multiply
    106,422.97x = 146,711.10 × 83,722.54
  4. Step 4: Simplify right side
    106,422.97x = 12,283,025,610.29
  5. Step 5: Solve for x
    x = 12,283,025,610.29/106,422.97
  6. Step 6: Final answer
    x = 115,417.05

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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.