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Finding the Fourth Proportional to 109,243.56, 163,861.22 and 45,200

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Solution

The fourth proportional to 109,243.56, 163,861.22 and 45,200 is: 67,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,243.56 : 163,861.22 = 45,200 : x
  2. Step 2: Convert to fraction form
    109,243.56/163,861.22 = 45,200/x
  3. Step 3: Cross multiply
    109,243.56x = 163,861.22 × 45,200
  4. Step 4: Simplify right side
    109,243.56x = 7,406,527,144
  5. Step 5: Solve for x
    x = 7,406,527,144/109,243.56
  6. Step 6: Final answer
    x = 67,798.30

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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.