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Finding the Fourth Proportional to 200,780.33, 301,020.71 and 120,799.56

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Solution

The fourth proportional to 200,780.33, 301,020.71 and 120,799.56 is: 181,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.33 : 301,020.71 = 120,799.56 : x
  2. Step 2: Convert to fraction form
    200,780.33/301,020.71 = 120,799.56/x
  3. Step 3: Cross multiply
    200,780.33x = 301,020.71 × 120,799.56
  4. Step 4: Simplify right side
    200,780.33x = 36,363,168,714.89
  5. Step 5: Solve for x
    x = 36,363,168,714.89/200,780.33
  6. Step 6: Final answer
    x = 181,109.22

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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.