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Finding the Fourth Proportional to 198,012.60, 297,062.64 and 98,227.08

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Solution

The fourth proportional to 198,012.60, 297,062.64 and 98,227.08 is: 147,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,012.60 : 297,062.64 = 98,227.08 : x
  2. Step 2: Convert to fraction form
    198,012.60/297,062.64 = 98,227.08/x
  3. Step 3: Cross multiply
    198,012.60x = 297,062.64 × 98,227.08
  4. Step 4: Simplify right side
    198,012.60x = 29,179,595,704.29
  5. Step 5: Solve for x
    x = 29,179,595,704.29/198,012.60
  6. Step 6: Final answer
    x = 147,362.32

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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.