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Finding the Fourth Proportional to 199,287.50, 275,010.30 and 108,642.02

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Solution

The fourth proportional to 199,287.50, 275,010.30 and 108,642.02 is: 149,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,287.50 : 275,010.30 = 108,642.02 : x
  2. Step 2: Convert to fraction form
    199,287.50/275,010.30 = 108,642.02/x
  3. Step 3: Cross multiply
    199,287.50x = 275,010.30 × 108,642.02
  4. Step 4: Simplify right side
    199,287.50x = 29,877,673,137.75
  5. Step 5: Solve for x
    x = 29,877,673,137.75/199,287.50
  6. Step 6: Final answer
    x = 149,922.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.