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Finding the Fourth Proportional to 106,395.26, 146,755.80 and 65,538.48

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Solution

The fourth proportional to 106,395.26, 146,755.80 and 65,538.48 is: 90,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.26 : 146,755.80 = 65,538.48 : x
  2. Step 2: Convert to fraction form
    106,395.26/146,755.80 = 65,538.48/x
  3. Step 3: Cross multiply
    106,395.26x = 146,755.80 × 65,538.48
  4. Step 4: Simplify right side
    106,395.26x = 9,618,152,063.18
  5. Step 5: Solve for x
    x = 9,618,152,063.18/106,395.26
  6. Step 6: Final answer
    x = 90,400.19

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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.