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Finding the Fourth Proportional to 120,069.78, 180,104.67 and 46,180.50

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Solution

The fourth proportional to 120,069.78, 180,104.67 and 46,180.50 is: 69,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069.78 : 180,104.67 = 46,180.50 : x
  2. Step 2: Convert to fraction form
    120,069.78/180,104.67 = 46,180.50/x
  3. Step 3: Cross multiply
    120,069.78x = 180,104.67 × 46,180.50
  4. Step 4: Simplify right side
    120,069.78x = 8,317,323,712.94
  5. Step 5: Solve for x
    x = 8,317,323,712.94/120,069.78
  6. Step 6: Final answer
    x = 69,270.75

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1.5x scale

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.