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Finding the Fourth Proportional to 198,885.25, 274,461.69 and 109,461.25

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Solution

The fourth proportional to 198,885.25, 274,461.69 and 109,461.25 is: 151,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,885.25 : 274,461.69 = 109,461.25 : x
  2. Step 2: Convert to fraction form
    198,885.25/274,461.69 = 109,461.25/x
  3. Step 3: Cross multiply
    198,885.25x = 274,461.69 × 109,461.25
  4. Step 4: Simplify right side
    198,885.25x = 30,042,919,664.51
  5. Step 5: Solve for x
    x = 30,042,919,664.51/198,885.25
  6. Step 6: Final answer
    x = 151,056.55

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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.