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Finding the Fourth Proportional to 203,486.86, 280,754.49 and 160,332.55

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Solution

The fourth proportional to 203,486.86, 280,754.49 and 160,332.55 is: 221,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.86 : 280,754.49 = 160,332.55 : x
  2. Step 2: Convert to fraction form
    203,486.86/280,754.49 = 160,332.55/x
  3. Step 3: Cross multiply
    203,486.86x = 280,754.49 × 160,332.55
  4. Step 4: Simplify right side
    203,486.86x = 45,014,083,305.65
  5. Step 5: Solve for x
    x = 45,014,083,305.65/203,486.86
  6. Step 6: Final answer
    x = 221,213.71

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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.