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Finding the Fourth Proportional to 165,890, 228,928.20 and 106,274

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Solution

The fourth proportional to 165,890, 228,928.20 and 106,274 is: 146,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,890 : 228,928.20 = 106,274 : x
  2. Step 2: Convert to fraction form
    165,890/228,928.20 = 106,274/x
  3. Step 3: Cross multiply
    165,890x = 228,928.20 × 106,274
  4. Step 4: Simplify right side
    165,890x = 24,329,115,526.80
  5. Step 5: Solve for x
    x = 24,329,115,526.80/165,890
  6. Step 6: Final answer
    x = 146,658.12

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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.