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Finding the Fourth Proportional to 69,843.24, 104,178.78 and 64,111.68

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Solution

The fourth proportional to 69,843.24, 104,178.78 and 64,111.68 is: 95,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.24 : 104,178.78 = 64,111.68 : x
  2. Step 2: Convert to fraction form
    69,843.24/104,178.78 = 64,111.68/x
  3. Step 3: Cross multiply
    69,843.24x = 104,178.78 × 64,111.68
  4. Step 4: Simplify right side
    69,843.24x = 6,679,076,606.15
  5. Step 5: Solve for x
    x = 6,679,076,606.15/69,843.24
  6. Step 6: Final answer
    x = 95,629.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.