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Finding the Fourth Proportional to 203,540.50, 280,884 and 112,896.64

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Solution

The fourth proportional to 203,540.50, 280,884 and 112,896.64 is: 155,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540.50 : 280,884 = 112,896.64 : x
  2. Step 2: Convert to fraction form
    203,540.50/280,884 = 112,896.64/x
  3. Step 3: Cross multiply
    203,540.50x = 280,884 × 112,896.64
  4. Step 4: Simplify right side
    203,540.50x = 31,710,859,829.76
  5. Step 5: Solve for x
    x = 31,710,859,829.76/203,540.50
  6. Step 6: Final answer
    x = 155,796.31

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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.