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Finding the Fourth Proportional to 149,661.80, 224,492.70 and 120,137.30

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Solution

The fourth proportional to 149,661.80, 224,492.70 and 120,137.30 is: 180,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,661.80 : 224,492.70 = 120,137.30 : x
  2. Step 2: Convert to fraction form
    149,661.80/224,492.70 = 120,137.30/x
  3. Step 3: Cross multiply
    149,661.80x = 224,492.70 × 120,137.30
  4. Step 4: Simplify right side
    149,661.80x = 26,969,946,847.71
  5. Step 5: Solve for x
    x = 26,969,946,847.71/149,661.80
  6. Step 6: Final answer
    x = 180,205.95

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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.