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Finding the Fourth Proportional to 200,122.96, 300,035.40 and 121,218.16

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Solution

The fourth proportional to 200,122.96, 300,035.40 and 121,218.16 is: 181,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122.96 : 300,035.40 = 121,218.16 : x
  2. Step 2: Convert to fraction form
    200,122.96/300,035.40 = 121,218.16/x
  3. Step 3: Cross multiply
    200,122.96x = 300,035.40 × 121,218.16
  4. Step 4: Simplify right side
    200,122.96x = 36,369,739,122.86
  5. Step 5: Solve for x
    x = 36,369,739,122.86/200,122.96
  6. Step 6: Final answer
    x = 181,736.96

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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.