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Finding the Fourth Proportional to 199,971.99, 275,978.44 and 113,957.28

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Solution

The fourth proportional to 199,971.99, 275,978.44 and 113,957.28 is: 157,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971.99 : 275,978.44 = 113,957.28 : x
  2. Step 2: Convert to fraction form
    199,971.99/275,978.44 = 113,957.28/x
  3. Step 3: Cross multiply
    199,971.99x = 275,978.44 × 113,957.28
  4. Step 4: Simplify right side
    199,971.99x = 31,449,752,503.49
  5. Step 5: Solve for x
    x = 31,449,752,503.49/199,971.99
  6. Step 6: Final answer
    x = 157,270.79

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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.