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Finding the Fourth Proportional to 165,834, 228,850.72 and 90,382.50

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Solution

The fourth proportional to 165,834, 228,850.72 and 90,382.50 is: 124,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,834 : 228,850.72 = 90,382.50 : x
  2. Step 2: Convert to fraction form
    165,834/228,850.72 = 90,382.50/x
  3. Step 3: Cross multiply
    165,834x = 228,850.72 × 90,382.50
  4. Step 4: Simplify right side
    165,834x = 20,684,099,974.44
  5. Step 5: Solve for x
    x = 20,684,099,974.44/165,834
  6. Step 6: Final answer
    x = 124,727.74

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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.