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Finding the Fourth Proportional to 281,092.64, 421,695.44 and 103,600.64

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Solution

The fourth proportional to 281,092.64, 421,695.44 and 103,600.64 is: 155,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,092.64 : 421,695.44 = 103,600.64 : x
  2. Step 2: Convert to fraction form
    281,092.64/421,695.44 = 103,600.64/x
  3. Step 3: Cross multiply
    281,092.64x = 421,695.44 × 103,600.64
  4. Step 4: Simplify right side
    281,092.64x = 43,687,917,469.08
  5. Step 5: Solve for x
    x = 43,687,917,469.08/281,092.64
  6. Step 6: Final answer
    x = 155,421.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.