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Finding the Fourth Proportional to 202,982.40, 280,166.40 and 122,457.60

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Solution

The fourth proportional to 202,982.40, 280,166.40 and 122,457.60 is: 169,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,982.40 : 280,166.40 = 122,457.60 : x
  2. Step 2: Convert to fraction form
    202,982.40/280,166.40 = 122,457.60/x
  3. Step 3: Cross multiply
    202,982.40x = 280,166.40 × 122,457.60
  4. Step 4: Simplify right side
    202,982.40x = 34,308,504,944.64
  5. Step 5: Solve for x
    x = 34,308,504,944.64/202,982.40
  6. Step 6: Final answer
    x = 169,022.07

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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.