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Finding the Fourth Proportional to 78,768, 118,152 and 20,400

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Solution

The fourth proportional to 78,768, 118,152 and 20,400 is: 30,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 118,152 = 20,400 : x
  2. Step 2: Convert to fraction form
    78,768/118,152 = 20,400/x
  3. Step 3: Cross multiply
    78,768x = 118,152 × 20,400
  4. Step 4: Simplify right side
    78,768x = 2,410,300,800
  5. Step 5: Solve for x
    x = 2,410,300,800/78,768
  6. Step 6: Final answer
    x = 30,600

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.