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Finding the Fourth Proportional to 203,023.20, 303,878.70 and 158,408.40

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Solution

The fourth proportional to 203,023.20, 303,878.70 and 158,408.40 is: 237,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,023.20 : 303,878.70 = 158,408.40 : x
  2. Step 2: Convert to fraction form
    203,023.20/303,878.70 = 158,408.40/x
  3. Step 3: Cross multiply
    203,023.20x = 303,878.70 × 158,408.40
  4. Step 4: Simplify right side
    203,023.20x = 48,136,938,661.08
  5. Step 5: Solve for x
    x = 48,136,938,661.08/203,023.20
  6. Step 6: Final answer
    x = 237,100.68

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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.