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Finding the Fourth Proportional to 143,698.82, 198,310.50 and 80,036.64

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Solution

The fourth proportional to 143,698.82, 198,310.50 and 80,036.64 is: 110,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,698.82 : 198,310.50 = 80,036.64 : x
  2. Step 2: Convert to fraction form
    143,698.82/198,310.50 = 80,036.64/x
  3. Step 3: Cross multiply
    143,698.82x = 198,310.50 × 80,036.64
  4. Step 4: Simplify right side
    143,698.82x = 15,872,106,096.72
  5. Step 5: Solve for x
    x = 15,872,106,096.72/143,698.82
  6. Step 6: Final answer
    x = 110,453.98

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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.