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Finding the Fourth Proportional to 79,378.44, 109,525.14 and 45,825

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Solution

The fourth proportional to 79,378.44, 109,525.14 and 45,825 is: 63,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,378.44 : 109,525.14 = 45,825 : x
  2. Step 2: Convert to fraction form
    79,378.44/109,525.14 = 45,825/x
  3. Step 3: Cross multiply
    79,378.44x = 109,525.14 × 45,825
  4. Step 4: Simplify right side
    79,378.44x = 5,018,989,540.50
  5. Step 5: Solve for x
    x = 5,018,989,540.50/79,378.44
  6. Step 6: Final answer
    x = 63,228.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.