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Finding the Fourth Proportional to 203,473.44, 280,795.77 and 112,830.57

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Solution

The fourth proportional to 203,473.44, 280,795.77 and 112,830.57 is: 155,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.44 : 280,795.77 = 112,830.57 : x
  2. Step 2: Convert to fraction form
    203,473.44/280,795.77 = 112,830.57/x
  3. Step 3: Cross multiply
    203,473.44x = 280,795.77 × 112,830.57
  4. Step 4: Simplify right side
    203,473.44x = 31,682,346,782.69
  5. Step 5: Solve for x
    x = 31,682,346,782.69/203,473.44
  6. Step 6: Final answer
    x = 155,707.53

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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.