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Finding the Fourth Proportional to 198,739.74, 297,611.06 and 118,728.36

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Solution

The fourth proportional to 198,739.74, 297,611.06 and 118,728.36 is: 177,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,739.74 : 297,611.06 = 118,728.36 : x
  2. Step 2: Convert to fraction form
    198,739.74/297,611.06 = 118,728.36/x
  3. Step 3: Cross multiply
    198,739.74x = 297,611.06 × 118,728.36
  4. Step 4: Simplify right side
    198,739.74x = 35,334,873,071.66
  5. Step 5: Solve for x
    x = 35,334,873,071.66/198,739.74
  6. Step 6: Final answer
    x = 177,794.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.