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Finding the Fourth Proportional to 203,508.96, 280,859.18 and 112,894.14

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Solution

The fourth proportional to 203,508.96, 280,859.18 and 112,894.14 is: 155,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,508.96 : 280,859.18 = 112,894.14 : x
  2. Step 2: Convert to fraction form
    203,508.96/280,859.18 = 112,894.14/x
  3. Step 3: Cross multiply
    203,508.96x = 280,859.18 × 112,894.14
  4. Step 4: Simplify right side
    203,508.96x = 31,707,355,869.44
  5. Step 5: Solve for x
    x = 31,707,355,869.44/203,508.96
  6. Step 6: Final answer
    x = 155,803.24

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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.