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Finding the Fourth Proportional to 68,534.64, 102,816 and 29,091.60

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Solution

The fourth proportional to 68,534.64, 102,816 and 29,091.60 is: 43,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.64 : 102,816 = 29,091.60 : x
  2. Step 2: Convert to fraction form
    68,534.64/102,816 = 29,091.60/x
  3. Step 3: Cross multiply
    68,534.64x = 102,816 × 29,091.60
  4. Step 4: Simplify right side
    68,534.64x = 2,991,081,945.60
  5. Step 5: Solve for x
    x = 2,991,081,945.60/68,534.64
  6. Step 6: Final answer
    x = 43,643.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.