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Finding the Fourth Proportional to 36,138.40, 54,223.80 and 16,406.80

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Solution

The fourth proportional to 36,138.40, 54,223.80 and 16,406.80 is: 24,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.40 : 54,223.80 = 16,406.80 : x
  2. Step 2: Convert to fraction form
    36,138.40/54,223.80 = 16,406.80/x
  3. Step 3: Cross multiply
    36,138.40x = 54,223.80 × 16,406.80
  4. Step 4: Simplify right side
    36,138.40x = 889,639,041.84
  5. Step 5: Solve for x
    x = 889,639,041.84/36,138.40
  6. Step 6: Final answer
    x = 24,617.55

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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.