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Finding the Fourth Proportional to 103,884.50, 155,771.31 and 53,914.30

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Solution

The fourth proportional to 103,884.50, 155,771.31 and 53,914.30 is: 80,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884.50 : 155,771.31 = 53,914.30 : x
  2. Step 2: Convert to fraction form
    103,884.50/155,771.31 = 53,914.30/x
  3. Step 3: Cross multiply
    103,884.50x = 155,771.31 × 53,914.30
  4. Step 4: Simplify right side
    103,884.50x = 8,398,300,359.88
  5. Step 5: Solve for x
    x = 8,398,300,359.88/103,884.50
  6. Step 6: Final answer
    x = 80,842.67

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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.