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Finding the Fourth Proportional to 140,579.80, 194,004.90 and 80,159.32

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Solution

The fourth proportional to 140,579.80, 194,004.90 and 80,159.32 is: 110,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,579.80 : 194,004.90 = 80,159.32 : x
  2. Step 2: Convert to fraction form
    140,579.80/194,004.90 = 80,159.32/x
  3. Step 3: Cross multiply
    140,579.80x = 194,004.90 × 80,159.32
  4. Step 4: Simplify right side
    140,579.80x = 15,551,300,860.67
  5. Step 5: Solve for x
    x = 15,551,300,860.67/140,579.80
  6. Step 6: Final answer
    x = 110,622.58

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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.