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Finding the Fourth Proportional to 203,143.28, 280,245.30 and 118,211

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Solution

The fourth proportional to 203,143.28, 280,245.30 and 118,211 is: 163,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,143.28 : 280,245.30 = 118,211 : x
  2. Step 2: Convert to fraction form
    203,143.28/280,245.30 = 118,211/x
  3. Step 3: Cross multiply
    203,143.28x = 280,245.30 × 118,211
  4. Step 4: Simplify right side
    203,143.28x = 33,128,077,158.30
  5. Step 5: Solve for x
    x = 33,128,077,158.30/203,143.28
  6. Step 6: Final answer
    x = 163,077.40

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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.