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Finding the Fourth Proportional to 140,765.76, 194,256.80 and 77,105.85

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Solution

The fourth proportional to 140,765.76, 194,256.80 and 77,105.85 is: 106,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,765.76 : 194,256.80 = 77,105.85 : x
  2. Step 2: Convert to fraction form
    140,765.76/194,256.80 = 77,105.85/x
  3. Step 3: Cross multiply
    140,765.76x = 194,256.80 × 77,105.85
  4. Step 4: Simplify right side
    140,765.76x = 14,978,335,296.75
  5. Step 5: Solve for x
    x = 14,978,335,296.75/140,765.76
  6. Step 6: Final answer
    x = 106,406.10

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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.