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Finding the Fourth Proportional to 180,205.20, 270,311.40 and 47,077.20

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Solution

The fourth proportional to 180,205.20, 270,311.40 and 47,077.20 is: 70,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205.20 : 270,311.40 = 47,077.20 : x
  2. Step 2: Convert to fraction form
    180,205.20/270,311.40 = 47,077.20/x
  3. Step 3: Cross multiply
    180,205.20x = 270,311.40 × 47,077.20
  4. Step 4: Simplify right side
    180,205.20x = 12,725,503,840.08
  5. Step 5: Solve for x
    x = 12,725,503,840.08/180,205.20
  6. Step 6: Final answer
    x = 70,616.74

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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.