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Finding the Fourth Proportional to 78,468, 117,702 and 20,100

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Solution

The fourth proportional to 78,468, 117,702 and 20,100 is: 30,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468 : 117,702 = 20,100 : x
  2. Step 2: Convert to fraction form
    78,468/117,702 = 20,100/x
  3. Step 3: Cross multiply
    78,468x = 117,702 × 20,100
  4. Step 4: Simplify right side
    78,468x = 2,365,810,200
  5. Step 5: Solve for x
    x = 2,365,810,200/78,468
  6. Step 6: Final answer
    x = 30,150

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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.