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Finding the Fourth Proportional to 203,497.47, 280,835.61 and 112,847.37

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Solution

The fourth proportional to 203,497.47, 280,835.61 and 112,847.37 is: 155,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.47 : 280,835.61 = 112,847.37 : x
  2. Step 2: Convert to fraction form
    203,497.47/280,835.61 = 112,847.37/x
  3. Step 3: Cross multiply
    203,497.47x = 280,835.61 × 112,847.37
  4. Step 4: Simplify right side
    203,497.47x = 31,691,559,990.85
  5. Step 5: Solve for x
    x = 31,691,559,990.85/203,497.47
  6. Step 6: Final answer
    x = 155,734.42

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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.