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Finding the Fourth Proportional to 200,781.83, 301,022.96 and 120,801.06

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Solution

The fourth proportional to 200,781.83, 301,022.96 and 120,801.06 is: 181,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.83 : 301,022.96 = 120,801.06 : x
  2. Step 2: Convert to fraction form
    200,781.83/301,022.96 = 120,801.06/x
  3. Step 3: Cross multiply
    200,781.83x = 301,022.96 × 120,801.06
  4. Step 4: Simplify right side
    200,781.83x = 36,363,892,048.33
  5. Step 5: Solve for x
    x = 36,363,892,048.33/200,781.83
  6. Step 6: Final answer
    x = 181,111.47

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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.