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Finding the Fourth Proportional to 120,212.99, 165,893.91 and 65,765.60

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Solution

The fourth proportional to 120,212.99, 165,893.91 and 65,765.60 is: 90,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212.99 : 165,893.91 = 65,765.60 : x
  2. Step 2: Convert to fraction form
    120,212.99/165,893.91 = 65,765.60/x
  3. Step 3: Cross multiply
    120,212.99x = 165,893.91 × 65,765.60
  4. Step 4: Simplify right side
    120,212.99x = 10,910,112,527.50
  5. Step 5: Solve for x
    x = 10,910,112,527.50/120,212.99
  6. Step 6: Final answer
    x = 90,756.52

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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.