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Finding the Fourth Proportional to 140,664.70, 194,112.45 and 80,254.90

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Solution

The fourth proportional to 140,664.70, 194,112.45 and 80,254.90 is: 110,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,664.70 : 194,112.45 = 80,254.90 : x
  2. Step 2: Convert to fraction form
    140,664.70/194,112.45 = 80,254.90/x
  3. Step 3: Cross multiply
    140,664.70x = 194,112.45 × 80,254.90
  4. Step 4: Simplify right side
    140,664.70x = 15,578,475,506.15
  5. Step 5: Solve for x
    x = 15,578,475,506.15/140,664.70
  6. Step 6: Final answer
    x = 110,749.00

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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.