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Finding the Fourth Proportional to 198,080.40, 296,731.80 and 118,959.60

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Solution

The fourth proportional to 198,080.40, 296,731.80 and 118,959.60 is: 178,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,080.40 : 296,731.80 = 118,959.60 : x
  2. Step 2: Convert to fraction form
    198,080.40/296,731.80 = 118,959.60/x
  3. Step 3: Cross multiply
    198,080.40x = 296,731.80 × 118,959.60
  4. Step 4: Simplify right side
    198,080.40x = 35,299,096,235.28
  5. Step 5: Solve for x
    x = 35,299,096,235.28/198,080.40
  6. Step 6: Final answer
    x = 178,205.90

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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.