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Finding the Fourth Proportional to 198,518.88, 273,956.40 and 107,874

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Solution

The fourth proportional to 198,518.88, 273,956.40 and 107,874 is: 148,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,518.88 : 273,956.40 = 107,874 : x
  2. Step 2: Convert to fraction form
    198,518.88/273,956.40 = 107,874/x
  3. Step 3: Cross multiply
    198,518.88x = 273,956.40 × 107,874
  4. Step 4: Simplify right side
    198,518.88x = 29,552,772,693.60
  5. Step 5: Solve for x
    x = 29,552,772,693.60/198,518.88
  6. Step 6: Final answer
    x = 148,866.31

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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.