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Finding the Fourth Proportional to 198,689.66, 274,172.10 and 112,631.66

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Solution

The fourth proportional to 198,689.66, 274,172.10 and 112,631.66 is: 155,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.66 : 274,172.10 = 112,631.66 : x
  2. Step 2: Convert to fraction form
    198,689.66/274,172.10 = 112,631.66/x
  3. Step 3: Cross multiply
    198,689.66x = 274,172.10 × 112,631.66
  4. Step 4: Simplify right side
    198,689.66x = 30,880,458,748.69
  5. Step 5: Solve for x
    x = 30,880,458,748.69/198,689.66
  6. Step 6: Final answer
    x = 155,420.56

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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.