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Finding the Fourth Proportional to 286,601.82, 429,906.84 and 109,118.58

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Solution

The fourth proportional to 286,601.82, 429,906.84 and 109,118.58 is: 163,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,601.82 : 429,906.84 = 109,118.58 : x
  2. Step 2: Convert to fraction form
    286,601.82/429,906.84 = 109,118.58/x
  3. Step 3: Cross multiply
    286,601.82x = 429,906.84 × 109,118.58
  4. Step 4: Simplify right side
    286,601.82x = 46,910,823,913.09
  5. Step 5: Solve for x
    x = 46,910,823,913.09/286,601.82
  6. Step 6: Final answer
    x = 163,679.43

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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.