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Finding the Fourth Proportional to 140,635.72, 194,077.74 and 76,977.64

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Solution

The fourth proportional to 140,635.72, 194,077.74 and 76,977.64 is: 106,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,635.72 : 194,077.74 = 76,977.64 : x
  2. Step 2: Convert to fraction form
    140,635.72/194,077.74 = 76,977.64/x
  3. Step 3: Cross multiply
    140,635.72x = 194,077.74 × 76,977.64
  4. Step 4: Simplify right side
    140,635.72x = 14,939,646,401.73
  5. Step 5: Solve for x
    x = 14,939,646,401.73/140,635.72
  6. Step 6: Final answer
    x = 106,229.39

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1.5x scale

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.