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Finding the Fourth Proportional to 200,769.68, 277,053.36 and 120,242

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Solution

The fourth proportional to 200,769.68, 277,053.36 and 120,242 is: 165,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.68 : 277,053.36 = 120,242 : x
  2. Step 2: Convert to fraction form
    200,769.68/277,053.36 = 120,242/x
  3. Step 3: Cross multiply
    200,769.68x = 277,053.36 × 120,242
  4. Step 4: Simplify right side
    200,769.68x = 33,313,450,113.12
  5. Step 5: Solve for x
    x = 33,313,450,113.12/200,769.68
  6. Step 6: Final answer
    x = 165,928.69

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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.