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Finding the Fourth Proportional to 193,476, 290,213.96 and 126,900.75

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Solution

The fourth proportional to 193,476, 290,213.96 and 126,900.75 is: 190,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,476 : 290,213.96 = 126,900.75 : x
  2. Step 2: Convert to fraction form
    193,476/290,213.96 = 126,900.75/x
  3. Step 3: Cross multiply
    193,476x = 290,213.96 × 126,900.75
  4. Step 4: Simplify right side
    193,476x = 36,828,368,549.97
  5. Step 5: Solve for x
    x = 36,828,368,549.97/193,476
  6. Step 6: Final answer
    x = 190,351.10

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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.