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Finding the Fourth Proportional to 165,627, 228,565.44 and 90,175.68

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Solution

The fourth proportional to 165,627, 228,565.44 and 90,175.68 is: 124,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627 : 228,565.44 = 90,175.68 : x
  2. Step 2: Convert to fraction form
    165,627/228,565.44 = 90,175.68/x
  3. Step 3: Cross multiply
    165,627x = 228,565.44 × 90,175.68
  4. Step 4: Simplify right side
    165,627x = 20,611,043,976.50
  5. Step 5: Solve for x
    x = 20,611,043,976.50/165,627
  6. Step 6: Final answer
    x = 124,442.54

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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.