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Finding the Fourth Proportional to 68,160, 102,245.76 and 18,912

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Solution

The fourth proportional to 68,160, 102,245.76 and 18,912 is: 28,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160 : 102,245.76 = 18,912 : x
  2. Step 2: Convert to fraction form
    68,160/102,245.76 = 18,912/x
  3. Step 3: Cross multiply
    68,160x = 102,245.76 × 18,912
  4. Step 4: Simplify right side
    68,160x = 1,933,671,813.12
  5. Step 5: Solve for x
    x = 1,933,671,813.12/68,160
  6. Step 6: Final answer
    x = 28,369.60

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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.