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Finding the Fourth Proportional to 120,083.22, 165,715.34 and 65,636.48

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Solution

The fourth proportional to 120,083.22, 165,715.34 and 65,636.48 is: 90,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.22 : 165,715.34 = 65,636.48 : x
  2. Step 2: Convert to fraction form
    120,083.22/165,715.34 = 65,636.48/x
  3. Step 3: Cross multiply
    120,083.22x = 165,715.34 × 65,636.48
  4. Step 4: Simplify right side
    120,083.22x = 10,876,971,599.60
  5. Step 5: Solve for x
    x = 10,876,971,599.60/120,083.22
  6. Step 6: Final answer
    x = 90,578.61

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1.5x scale

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.