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Finding the Fourth Proportional to 200,114.48, 300,022.68 and 121,209.68

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Solution

The fourth proportional to 200,114.48, 300,022.68 and 121,209.68 is: 181,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,114.48 : 300,022.68 = 121,209.68 : x
  2. Step 2: Convert to fraction form
    200,114.48/300,022.68 = 121,209.68/x
  3. Step 3: Cross multiply
    200,114.48x = 300,022.68 × 121,209.68
  4. Step 4: Simplify right side
    200,114.48x = 36,365,653,035.54
  5. Step 5: Solve for x
    x = 36,365,653,035.54/200,114.48
  6. Step 6: Final answer
    x = 181,724.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.