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Finding the Fourth Proportional to 203,909.16, 305,695.34 and 89,975.86

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Solution

The fourth proportional to 203,909.16, 305,695.34 and 89,975.86 is: 134,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.16 : 305,695.34 = 89,975.86 : x
  2. Step 2: Convert to fraction form
    203,909.16/305,695.34 = 89,975.86/x
  3. Step 3: Cross multiply
    203,909.16x = 305,695.34 × 89,975.86
  4. Step 4: Simplify right side
    203,909.16x = 27,505,201,114.49
  5. Step 5: Solve for x
    x = 27,505,201,114.49/203,909.16
  6. Step 6: Final answer
    x = 134,889.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.