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Finding the Fourth Proportional to 120,069.28, 180,103.92 and 46,180

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Solution

The fourth proportional to 120,069.28, 180,103.92 and 46,180 is: 69,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069.28 : 180,103.92 = 46,180 : x
  2. Step 2: Convert to fraction form
    120,069.28/180,103.92 = 46,180/x
  3. Step 3: Cross multiply
    120,069.28x = 180,103.92 × 46,180
  4. Step 4: Simplify right side
    120,069.28x = 8,317,199,025.60
  5. Step 5: Solve for x
    x = 8,317,199,025.60/120,069.28
  6. Step 6: Final answer
    x = 69,270

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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.