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Finding the Fourth Proportional to 165,242, 228,033.50 and 89,790.48

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Solution

The fourth proportional to 165,242, 228,033.50 and 89,790.48 is: 123,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,242 : 228,033.50 = 89,790.48 : x
  2. Step 2: Convert to fraction form
    165,242/228,033.50 = 89,790.48/x
  3. Step 3: Cross multiply
    165,242x = 228,033.50 × 89,790.48
  4. Step 4: Simplify right side
    165,242x = 20,475,237,421.08
  5. Step 5: Solve for x
    x = 20,475,237,421.08/165,242
  6. Step 6: Final answer
    x = 123,910.61

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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.