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Finding the Fourth Proportional to 198,903.68, 298,362.72 and 65,787.20

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Solution

The fourth proportional to 198,903.68, 298,362.72 and 65,787.20 is: 98,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,903.68 : 298,362.72 = 65,787.20 : x
  2. Step 2: Convert to fraction form
    198,903.68/298,362.72 = 65,787.20/x
  3. Step 3: Cross multiply
    198,903.68x = 298,362.72 × 65,787.20
  4. Step 4: Simplify right side
    198,903.68x = 19,628,447,933.18
  5. Step 5: Solve for x
    x = 19,628,447,933.18/198,903.68
  6. Step 6: Final answer
    x = 98,683.18

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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.