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Finding the Fourth Proportional to 281,889.42, 422,833.86 and 68,657.22

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Solution

The fourth proportional to 281,889.42, 422,833.86 and 68,657.22 is: 102,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,889.42 : 422,833.86 = 68,657.22 : x
  2. Step 2: Convert to fraction form
    281,889.42/422,833.86 = 68,657.22/x
  3. Step 3: Cross multiply
    281,889.42x = 422,833.86 × 68,657.22
  4. Step 4: Simplify right side
    281,889.42x = 29,030,597,349.47
  5. Step 5: Solve for x
    x = 29,030,597,349.47/281,889.42
  6. Step 6: Final answer
    x = 102,985.76

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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.