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Finding the Fourth Proportional to 193,072.80, 290,386.80 and 172,855.20

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Solution

The fourth proportional to 193,072.80, 290,386.80 and 172,855.20 is: 259,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,072.80 : 290,386.80 = 172,855.20 : x
  2. Step 2: Convert to fraction form
    193,072.80/290,386.80 = 172,855.20/x
  3. Step 3: Cross multiply
    193,072.80x = 290,386.80 × 172,855.20
  4. Step 4: Simplify right side
    193,072.80x = 50,194,868,391.36
  5. Step 5: Solve for x
    x = 50,194,868,391.36/193,072.80
  6. Step 6: Final answer
    x = 259,978.97

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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.