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Finding the Fourth Proportional to 68,692.48, 102,980.16 and 66,709.60

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Solution

The fourth proportional to 68,692.48, 102,980.16 and 66,709.60 is: 100,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692.48 : 102,980.16 = 66,709.60 : x
  2. Step 2: Convert to fraction form
    68,692.48/102,980.16 = 66,709.60/x
  3. Step 3: Cross multiply
    68,692.48x = 102,980.16 × 66,709.60
  4. Step 4: Simplify right side
    68,692.48x = 6,869,765,281.54
  5. Step 5: Solve for x
    x = 6,869,765,281.54/68,692.48
  6. Step 6: Final answer
    x = 100,007.53

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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.