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Finding the Fourth Proportional to 120,868, 180,725.04 and 110,280.64

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Solution

The fourth proportional to 120,868, 180,725.04 and 110,280.64 is: 164,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868 : 180,725.04 = 110,280.64 : x
  2. Step 2: Convert to fraction form
    120,868/180,725.04 = 110,280.64/x
  3. Step 3: Cross multiply
    120,868x = 180,725.04 × 110,280.64
  4. Step 4: Simplify right side
    120,868x = 19,930,473,075.23
  5. Step 5: Solve for x
    x = 19,930,473,075.23/120,868
  6. Step 6: Final answer
    x = 164,894.54

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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.