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Finding the Fourth Proportional to 165,542.72, 228,450.12 and 90,092.84

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Solution

The fourth proportional to 165,542.72, 228,450.12 and 90,092.84 is: 124,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,542.72 : 228,450.12 = 90,092.84 : x
  2. Step 2: Convert to fraction form
    165,542.72/228,450.12 = 90,092.84/x
  3. Step 3: Cross multiply
    165,542.72x = 228,450.12 × 90,092.84
  4. Step 4: Simplify right side
    165,542.72x = 20,581,720,109.14
  5. Step 5: Solve for x
    x = 20,581,720,109.14/165,542.72
  6. Step 6: Final answer
    x = 124,328.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.