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Finding the Fourth Proportional to 203,561.64, 280,907.46 and 114,131.88

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Solution

The fourth proportional to 203,561.64, 280,907.46 and 114,131.88 is: 157,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,561.64 : 280,907.46 = 114,131.88 : x
  2. Step 2: Convert to fraction form
    203,561.64/280,907.46 = 114,131.88/x
  3. Step 3: Cross multiply
    203,561.64x = 280,907.46 × 114,131.88
  4. Step 4: Simplify right side
    203,561.64x = 32,060,496,515.82
  5. Step 5: Solve for x
    x = 32,060,496,515.82/203,561.64
  6. Step 6: Final answer
    x = 157,497.73

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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.