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Finding the Fourth Proportional to 203,282, 280,529.16 and 113,858

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Solution

The fourth proportional to 203,282, 280,529.16 and 113,858 is: 157,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,282 : 280,529.16 = 113,858 : x
  2. Step 2: Convert to fraction form
    203,282/280,529.16 = 113,858/x
  3. Step 3: Cross multiply
    203,282x = 280,529.16 × 113,858
  4. Step 4: Simplify right side
    203,282x = 31,940,489,099.28
  5. Step 5: Solve for x
    x = 31,940,489,099.28/203,282
  6. Step 6: Final answer
    x = 157,124.04

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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.