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Finding the Fourth Proportional to 201,952.36, 278,692.86 and 111,308.37

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Solution

The fourth proportional to 201,952.36, 278,692.86 and 111,308.37 is: 153,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952.36 : 278,692.86 = 111,308.37 : x
  2. Step 2: Convert to fraction form
    201,952.36/278,692.86 = 111,308.37/x
  3. Step 3: Cross multiply
    201,952.36x = 278,692.86 × 111,308.37
  4. Step 4: Simplify right side
    201,952.36x = 31,020,847,838.37
  5. Step 5: Solve for x
    x = 31,020,847,838.37/201,952.36
  6. Step 6: Final answer
    x = 153,604.78

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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.