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Finding the Fourth Proportional to 199,425.88, 275,208.57 and 108,783.82

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Solution

The fourth proportional to 199,425.88, 275,208.57 and 108,783.82 is: 150,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,425.88 : 275,208.57 = 108,783.82 : x
  2. Step 2: Convert to fraction form
    199,425.88/275,208.57 = 108,783.82/x
  3. Step 3: Cross multiply
    199,425.88x = 275,208.57 × 108,783.82
  4. Step 4: Simplify right side
    199,425.88x = 29,938,239,541.34
  5. Step 5: Solve for x
    x = 29,938,239,541.34/199,425.88
  6. Step 6: Final answer
    x = 150,122.14

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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.