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Finding the Fourth Proportional to 198,859.88, 274,364.76 and 112,804.64

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Solution

The fourth proportional to 198,859.88, 274,364.76 and 112,804.64 is: 155,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,859.88 : 274,364.76 = 112,804.64 : x
  2. Step 2: Convert to fraction form
    198,859.88/274,364.76 = 112,804.64/x
  3. Step 3: Cross multiply
    198,859.88x = 274,364.76 × 112,804.64
  4. Step 4: Simplify right side
    198,859.88x = 30,949,617,980.49
  5. Step 5: Solve for x
    x = 30,949,617,980.49/198,859.88
  6. Step 6: Final answer
    x = 155,635.30

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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.