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Finding the Fourth Proportional to 203,559.64, 280,904.70 and 114,129.88

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Solution

The fourth proportional to 203,559.64, 280,904.70 and 114,129.88 is: 157,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,559.64 : 280,904.70 = 114,129.88 : x
  2. Step 2: Convert to fraction form
    203,559.64/280,904.70 = 114,129.88/x
  3. Step 3: Cross multiply
    203,559.64x = 280,904.70 × 114,129.88
  4. Step 4: Simplify right side
    203,559.64x = 32,059,619,702.44
  5. Step 5: Solve for x
    x = 32,059,619,702.44/203,559.64
  6. Step 6: Final answer
    x = 157,494.97

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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.