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Finding the Fourth Proportional to 203,520.42, 280,824.53 and 112,861.98

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Solution

The fourth proportional to 203,520.42, 280,824.53 and 112,861.98 is: 155,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,520.42 : 280,824.53 = 112,861.98 : x
  2. Step 2: Convert to fraction form
    203,520.42/280,824.53 = 112,861.98/x
  3. Step 3: Cross multiply
    203,520.42x = 280,824.53 × 112,861.98
  4. Step 4: Simplify right side
    203,520.42x = 31,694,411,924.06
  5. Step 5: Solve for x
    x = 31,694,411,924.06/203,520.42
  6. Step 6: Final answer
    x = 155,730.87

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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.