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Finding the Fourth Proportional to 140,644.92, 194,090.20 and 76,986.74

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Solution

The fourth proportional to 140,644.92, 194,090.20 and 76,986.74 is: 106,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,644.92 : 194,090.20 = 76,986.74 : x
  2. Step 2: Convert to fraction form
    140,644.92/194,090.20 = 76,986.74/x
  3. Step 3: Cross multiply
    140,644.92x = 194,090.20 × 76,986.74
  4. Step 4: Simplify right side
    140,644.92x = 14,942,371,763.95
  5. Step 5: Solve for x
    x = 14,942,371,763.95/140,644.92
  6. Step 6: Final answer
    x = 106,241.82

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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.