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Finding the Fourth Proportional to 140,314.56, 193,569.12 and 80,664

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Solution

The fourth proportional to 140,314.56, 193,569.12 and 80,664 is: 111,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314.56 : 193,569.12 = 80,664 : x
  2. Step 2: Convert to fraction form
    140,314.56/193,569.12 = 80,664/x
  3. Step 3: Cross multiply
    140,314.56x = 193,569.12 × 80,664
  4. Step 4: Simplify right side
    140,314.56x = 15,614,059,495.68
  5. Step 5: Solve for x
    x = 15,614,059,495.68/140,314.56
  6. Step 6: Final answer
    x = 111,278.97

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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.