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Finding the Fourth Proportional to 103,761.36, 143,128.62 and 65,453.22

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Solution

The fourth proportional to 103,761.36, 143,128.62 and 65,453.22 is: 90,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,761.36 : 143,128.62 = 65,453.22 : x
  2. Step 2: Convert to fraction form
    103,761.36/143,128.62 = 65,453.22/x
  3. Step 3: Cross multiply
    103,761.36x = 143,128.62 × 65,453.22
  4. Step 4: Simplify right side
    103,761.36x = 9,368,229,053.16
  5. Step 5: Solve for x
    x = 9,368,229,053.16/103,761.36
  6. Step 6: Final answer
    x = 90,286.30

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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.