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Finding the Fourth Proportional to 106,138.35, 146,434.50 and 65,837.61

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Solution

The fourth proportional to 106,138.35, 146,434.50 and 65,837.61 is: 90,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.35 : 146,434.50 = 65,837.61 : x
  2. Step 2: Convert to fraction form
    106,138.35/146,434.50 = 65,837.61/x
  3. Step 3: Cross multiply
    106,138.35x = 146,434.50 × 65,837.61
  4. Step 4: Simplify right side
    106,138.35x = 9,640,897,501.55
  5. Step 5: Solve for x
    x = 9,640,897,501.55/106,138.35
  6. Step 6: Final answer
    x = 90,833.31

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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.