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Finding the Fourth Proportional to 198,855.25, 274,420.29 and 109,431.25

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Solution

The fourth proportional to 198,855.25, 274,420.29 and 109,431.25 is: 151,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855.25 : 274,420.29 = 109,431.25 : x
  2. Step 2: Convert to fraction form
    198,855.25/274,420.29 = 109,431.25/x
  3. Step 3: Cross multiply
    198,855.25x = 274,420.29 × 109,431.25
  4. Step 4: Simplify right side
    198,855.25x = 30,030,155,360.06
  5. Step 5: Solve for x
    x = 30,030,155,360.06/198,855.25
  6. Step 6: Final answer
    x = 151,015.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.