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Finding the Fourth Proportional to 72,769.88, 109,168.05 and 30,075.44

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Solution

The fourth proportional to 72,769.88, 109,168.05 and 30,075.44 is: 45,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769.88 : 109,168.05 = 30,075.44 : x
  2. Step 2: Convert to fraction form
    72,769.88/109,168.05 = 30,075.44/x
  3. Step 3: Cross multiply
    72,769.88x = 109,168.05 × 30,075.44
  4. Step 4: Simplify right side
    72,769.88x = 3,283,277,137.69
  5. Step 5: Solve for x
    x = 3,283,277,137.69/72,769.88
  6. Step 6: Final answer
    x = 45,118.63

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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.