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Finding the Fourth Proportional to 199,821, 275,760.90 and 114,937.96

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Solution

The fourth proportional to 199,821, 275,760.90 and 114,937.96 is: 158,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821 : 275,760.90 = 114,937.96 : x
  2. Step 2: Convert to fraction form
    199,821/275,760.90 = 114,937.96/x
  3. Step 3: Cross multiply
    199,821x = 275,760.90 × 114,937.96
  4. Step 4: Simplify right side
    199,821x = 31,695,395,293.76
  5. Step 5: Solve for x
    x = 31,695,395,293.76/199,821
  6. Step 6: Final answer
    x = 158,618.94

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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.