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Finding the Fourth Proportional to 198,807.06, 297,961.22 and 118,904.06

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Solution

The fourth proportional to 198,807.06, 297,961.22 and 118,904.06 is: 178,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807.06 : 297,961.22 = 118,904.06 : x
  2. Step 2: Convert to fraction form
    198,807.06/297,961.22 = 118,904.06/x
  3. Step 3: Cross multiply
    198,807.06x = 297,961.22 × 118,904.06
  4. Step 4: Simplify right side
    198,807.06x = 35,428,798,780.55
  5. Step 5: Solve for x
    x = 35,428,798,780.55/198,807.06
  6. Step 6: Final answer
    x = 178,206.94

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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.