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Finding the Fourth Proportional to 199,520, 275,343.36 and 110,101.76

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Solution

The fourth proportional to 199,520, 275,343.36 and 110,101.76 is: 151,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,520 : 275,343.36 = 110,101.76 : x
  2. Step 2: Convert to fraction form
    199,520/275,343.36 = 110,101.76/x
  3. Step 3: Cross multiply
    199,520x = 275,343.36 × 110,101.76
  4. Step 4: Simplify right side
    199,520x = 30,315,788,540.31
  5. Step 5: Solve for x
    x = 30,315,788,540.31/199,520
  6. Step 6: Final answer
    x = 151,943.61

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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.