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Finding the Fourth Proportional to 165,912, 228,958.56 and 106,299.84

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Solution

The fourth proportional to 165,912, 228,958.56 and 106,299.84 is: 146,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,912 : 228,958.56 = 106,299.84 : x
  2. Step 2: Convert to fraction form
    165,912/228,958.56 = 106,299.84/x
  3. Step 3: Cross multiply
    165,912x = 228,958.56 × 106,299.84
  4. Step 4: Simplify right side
    165,912x = 24,338,258,294.63
  5. Step 5: Solve for x
    x = 24,338,258,294.63/165,912
  6. Step 6: Final answer
    x = 146,693.78

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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.