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Finding the Fourth Proportional to 104,096, 143,613.28 and 68,305.76

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Solution

The fourth proportional to 104,096, 143,613.28 and 68,305.76 is: 94,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,096 : 143,613.28 = 68,305.76 : x
  2. Step 2: Convert to fraction form
    104,096/143,613.28 = 68,305.76/x
  3. Step 3: Cross multiply
    104,096x = 143,613.28 × 68,305.76
  4. Step 4: Simplify right side
    104,096x = 9,809,614,236.49
  5. Step 5: Solve for x
    x = 9,809,614,236.49/104,096
  6. Step 6: Final answer
    x = 94,236.23

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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.