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Finding the Fourth Proportional to 199,075.40, 274,724 and 109,651.40

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Solution

The fourth proportional to 199,075.40, 274,724 and 109,651.40 is: 151,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,075.40 : 274,724 = 109,651.40 : x
  2. Step 2: Convert to fraction form
    199,075.40/274,724 = 109,651.40/x
  3. Step 3: Cross multiply
    199,075.40x = 274,724 × 109,651.40
  4. Step 4: Simplify right side
    199,075.40x = 30,123,871,213.60
  5. Step 5: Solve for x
    x = 30,123,871,213.60/199,075.40
  6. Step 6: Final answer
    x = 151,318.90

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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.