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Finding the Fourth Proportional to 78,049.64, 117,074.76 and 18,885.22

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Solution

The fourth proportional to 78,049.64, 117,074.76 and 18,885.22 is: 28,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.64 : 117,074.76 = 18,885.22 : x
  2. Step 2: Convert to fraction form
    78,049.64/117,074.76 = 18,885.22/x
  3. Step 3: Cross multiply
    78,049.64x = 117,074.76 × 18,885.22
  4. Step 4: Simplify right side
    78,049.64x = 2,210,982,599.05
  5. Step 5: Solve for x
    x = 2,210,982,599.05/78,049.64
  6. Step 6: Final answer
    x = 28,327.90

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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.