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Finding the Fourth Proportional to 120,048.96, 165,513.60 and 82,257.60

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Solution

The fourth proportional to 120,048.96, 165,513.60 and 82,257.60 is: 113,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048.96 : 165,513.60 = 82,257.60 : x
  2. Step 2: Convert to fraction form
    120,048.96/165,513.60 = 82,257.60/x
  3. Step 3: Cross multiply
    120,048.96x = 165,513.60 × 82,257.60
  4. Step 4: Simplify right side
    120,048.96x = 13,614,751,503.36
  5. Step 5: Solve for x
    x = 13,614,751,503.36/120,048.96
  6. Step 6: Final answer
    x = 113,409.99

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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.