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Finding the Fourth Proportional to 198,955.50, 274,558.68 and 109,531.50

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Solution

The fourth proportional to 198,955.50, 274,558.68 and 109,531.50 is: 151,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,955.50 : 274,558.68 = 109,531.50 : x
  2. Step 2: Convert to fraction form
    198,955.50/274,558.68 = 109,531.50/x
  3. Step 3: Cross multiply
    198,955.50x = 274,558.68 × 109,531.50
  4. Step 4: Simplify right side
    198,955.50x = 30,072,824,058.42
  5. Step 5: Solve for x
    x = 30,072,824,058.42/198,955.50
  6. Step 6: Final answer
    x = 151,153.52

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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.