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Finding the Fourth Proportional to 119,651.20, 165,057.60 and 81,961.60

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Solution

The fourth proportional to 119,651.20, 165,057.60 and 81,961.60 is: 113,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,651.20 : 165,057.60 = 81,961.60 : x
  2. Step 2: Convert to fraction form
    119,651.20/165,057.60 = 81,961.60/x
  3. Step 3: Cross multiply
    119,651.20x = 165,057.60 × 81,961.60
  4. Step 4: Simplify right side
    119,651.20x = 13,528,384,988.16
  5. Step 5: Solve for x
    x = 13,528,384,988.16/119,651.20
  6. Step 6: Final answer
    x = 113,065.18

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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.