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Finding the Fourth Proportional to 198,908.64, 298,362.96 and 74,259.36

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Solution

The fourth proportional to 198,908.64, 298,362.96 and 74,259.36 is: 111,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,908.64 : 298,362.96 = 74,259.36 : x
  2. Step 2: Convert to fraction form
    198,908.64/298,362.96 = 74,259.36/x
  3. Step 3: Cross multiply
    198,908.64x = 298,362.96 × 74,259.36
  4. Step 4: Simplify right side
    198,908.64x = 22,156,242,457.31
  5. Step 5: Solve for x
    x = 22,156,242,457.31/198,908.64
  6. Step 6: Final answer
    x = 111,389.04

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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.