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Finding the Fourth Proportional to 146,205.38, 201,764.02 and 79,137.38

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Solution

The fourth proportional to 146,205.38, 201,764.02 and 79,137.38 is: 109,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,205.38 : 201,764.02 = 79,137.38 : x
  2. Step 2: Convert to fraction form
    146,205.38/201,764.02 = 79,137.38/x
  3. Step 3: Cross multiply
    146,205.38x = 201,764.02 × 79,137.38
  4. Step 4: Simplify right side
    146,205.38x = 15,967,075,921.07
  5. Step 5: Solve for x
    x = 15,967,075,921.07/146,205.38
  6. Step 6: Final answer
    x = 109,209.91

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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.