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Finding the Fourth Proportional to 109,633.60, 164,401.80 and 50,438.80

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Solution

The fourth proportional to 109,633.60, 164,401.80 and 50,438.80 is: 75,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,633.60 : 164,401.80 = 50,438.80 : x
  2. Step 2: Convert to fraction form
    109,633.60/164,401.80 = 50,438.80/x
  3. Step 3: Cross multiply
    109,633.60x = 164,401.80 × 50,438.80
  4. Step 4: Simplify right side
    109,633.60x = 8,292,229,509.84
  5. Step 5: Solve for x
    x = 8,292,229,509.84/109,633.60
  6. Step 6: Final answer
    x = 75,635.84

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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.