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Finding the Fourth Proportional to 102,969.20, 154,453.80 and 36,408.80

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Solution

The fourth proportional to 102,969.20, 154,453.80 and 36,408.80 is: 54,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.20 : 154,453.80 = 36,408.80 : x
  2. Step 2: Convert to fraction form
    102,969.20/154,453.80 = 36,408.80/x
  3. Step 3: Cross multiply
    102,969.20x = 154,453.80 × 36,408.80
  4. Step 4: Simplify right side
    102,969.20x = 5,623,477,513.44
  5. Step 5: Solve for x
    x = 5,623,477,513.44/102,969.20
  6. Step 6: Final answer
    x = 54,613.20

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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.