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Finding the Fourth Proportional to 78,482, 117,723 and 20,114

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Solution

The fourth proportional to 78,482, 117,723 and 20,114 is: 30,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482 : 117,723 = 20,114 : x
  2. Step 2: Convert to fraction form
    78,482/117,723 = 20,114/x
  3. Step 3: Cross multiply
    78,482x = 117,723 × 20,114
  4. Step 4: Simplify right side
    78,482x = 2,367,880,422
  5. Step 5: Solve for x
    x = 2,367,880,422/78,482
  6. Step 6: Final answer
    x = 30,171

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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.