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Finding the Fourth Proportional to 200,845.27, 300,866.26 and 120,839.11

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Solution

The fourth proportional to 200,845.27, 300,866.26 and 120,839.11 is: 181,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,845.27 : 300,866.26 = 120,839.11 : x
  2. Step 2: Convert to fraction form
    200,845.27/300,866.26 = 120,839.11/x
  3. Step 3: Cross multiply
    200,845.27x = 300,866.26 × 120,839.11
  4. Step 4: Simplify right side
    200,845.27x = 36,356,411,087.43
  5. Step 5: Solve for x
    x = 36,356,411,087.43/200,845.27
  6. Step 6: Final answer
    x = 181,017.01

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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.