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Finding the Fourth Proportional to 203,412.47, 280,725.78 and 112,796.85

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Solution

The fourth proportional to 203,412.47, 280,725.78 and 112,796.85 is: 155,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.47 : 280,725.78 = 112,796.85 : x
  2. Step 2: Convert to fraction form
    203,412.47/280,725.78 = 112,796.85/x
  3. Step 3: Cross multiply
    203,412.47x = 280,725.78 × 112,796.85
  4. Step 4: Simplify right side
    203,412.47x = 31,664,983,697.79
  5. Step 5: Solve for x
    x = 31,664,983,697.79/203,412.47
  6. Step 6: Final answer
    x = 155,668.84

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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.