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Finding the Fourth Proportional to 104,071.36, 143,640.96 and 65,806.48

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Solution

The fourth proportional to 104,071.36, 143,640.96 and 65,806.48 is: 90,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,071.36 : 143,640.96 = 65,806.48 : x
  2. Step 2: Convert to fraction form
    104,071.36/143,640.96 = 65,806.48/x
  3. Step 3: Cross multiply
    104,071.36x = 143,640.96 × 65,806.48
  4. Step 4: Simplify right side
    104,071.36x = 9,452,505,961.42
  5. Step 5: Solve for x
    x = 9,452,505,961.42/104,071.36
  6. Step 6: Final answer
    x = 90,827.16

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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.