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Finding the Fourth Proportional to 199,788.69, 299,204.29 and 145,608.16

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Solution

The fourth proportional to 199,788.69, 299,204.29 and 145,608.16 is: 218,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,788.69 : 299,204.29 = 145,608.16 : x
  2. Step 2: Convert to fraction form
    199,788.69/299,204.29 = 145,608.16/x
  3. Step 3: Cross multiply
    199,788.69x = 299,204.29 × 145,608.16
  4. Step 4: Simplify right side
    199,788.69x = 43,566,586,131.01
  5. Step 5: Solve for x
    x = 43,566,586,131.01/199,788.69
  6. Step 6: Final answer
    x = 218,063.33

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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.