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Finding the Fourth Proportional to 203,495.80, 280,529.20 and 142,881.88

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Solution

The fourth proportional to 203,495.80, 280,529.20 and 142,881.88 is: 196,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,495.80 : 280,529.20 = 142,881.88 : x
  2. Step 2: Convert to fraction form
    203,495.80/280,529.20 = 142,881.88/x
  3. Step 3: Cross multiply
    203,495.80x = 280,529.20 × 142,881.88
  4. Step 4: Simplify right side
    203,495.80x = 40,082,539,490.90
  5. Step 5: Solve for x
    x = 40,082,539,490.90/203,495.80
  6. Step 6: Final answer
    x = 196,969.86

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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.