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Finding the Fourth Proportional to 198,796.07, 298,289.78 and 98,964.98

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Solution

The fourth proportional to 198,796.07, 298,289.78 and 98,964.98 is: 148,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,796.07 : 298,289.78 = 98,964.98 : x
  2. Step 2: Convert to fraction form
    198,796.07/298,289.78 = 98,964.98/x
  3. Step 3: Cross multiply
    198,796.07x = 298,289.78 × 98,964.98
  4. Step 4: Simplify right side
    198,796.07x = 29,520,242,111.90
  5. Step 5: Solve for x
    x = 29,520,242,111.90/198,796.07
  6. Step 6: Final answer
    x = 148,495.10

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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.