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Finding the Fourth Proportional to 120,223.89, 165,907.72 and 65,775.54

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Solution

The fourth proportional to 120,223.89, 165,907.72 and 65,775.54 is: 90,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.89 : 165,907.72 = 65,775.54 : x
  2. Step 2: Convert to fraction form
    120,223.89/165,907.72 = 65,775.54/x
  3. Step 3: Cross multiply
    120,223.89x = 165,907.72 × 65,775.54
  4. Step 4: Simplify right side
    120,223.89x = 10,912,670,577.54
  5. Step 5: Solve for x
    x = 10,912,670,577.54/120,223.89
  6. Step 6: Final answer
    x = 90,769.57

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1.5x scale

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.