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Finding the Fourth Proportional to 120,093.44, 180,075.20 and 85,101.44

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Solution

The fourth proportional to 120,093.44, 180,075.20 and 85,101.44 is: 127,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.44 : 180,075.20 = 85,101.44 : x
  2. Step 2: Convert to fraction form
    120,093.44/180,075.20 = 85,101.44/x
  3. Step 3: Cross multiply
    120,093.44x = 180,075.20 × 85,101.44
  4. Step 4: Simplify right side
    120,093.44x = 15,324,658,828.29
  5. Step 5: Solve for x
    x = 15,324,658,828.29/120,093.44
  6. Step 6: Final answer
    x = 127,606.13

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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.