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Finding the Fourth Proportional to 198,785.77, 274,425.96 and 153,361.78

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Solution

The fourth proportional to 198,785.77, 274,425.96 and 153,361.78 is: 211,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,785.77 : 274,425.96 = 153,361.78 : x
  2. Step 2: Convert to fraction form
    198,785.77/274,425.96 = 153,361.78/x
  3. Step 3: Cross multiply
    198,785.77x = 274,425.96 × 153,361.78
  4. Step 4: Simplify right side
    198,785.77x = 42,086,453,703.81
  5. Step 5: Solve for x
    x = 42,086,453,703.81/198,785.77
  6. Step 6: Final answer
    x = 211,717.64

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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.