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Finding the Fourth Proportional to 199,878.36, 275,881.12 and 113,888.04

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Solution

The fourth proportional to 199,878.36, 275,881.12 and 113,888.04 is: 157,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,878.36 : 275,881.12 = 113,888.04 : x
  2. Step 2: Convert to fraction form
    199,878.36/275,881.12 = 113,888.04/x
  3. Step 3: Cross multiply
    199,878.36x = 275,881.12 × 113,888.04
  4. Step 4: Simplify right side
    199,878.36x = 31,419,560,029.80
  5. Step 5: Solve for x
    x = 31,419,560,029.80/199,878.36
  6. Step 6: Final answer
    x = 157,193.41

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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.