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Finding the Fourth Proportional to 140,970.78, 194,538.78 and 80,559.90

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Solution

The fourth proportional to 140,970.78, 194,538.78 and 80,559.90 is: 111,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970.78 : 194,538.78 = 80,559.90 : x
  2. Step 2: Convert to fraction form
    140,970.78/194,538.78 = 80,559.90/x
  3. Step 3: Cross multiply
    140,970.78x = 194,538.78 × 80,559.90
  4. Step 4: Simplify right side
    140,970.78x = 15,672,024,662.92
  5. Step 5: Solve for x
    x = 15,672,024,662.92/140,970.78
  6. Step 6: Final answer
    x = 111,172.15

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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.