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Finding the Fourth Proportional to 74,414.50, 102,692.01 and 40,880.50

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Solution

The fourth proportional to 74,414.50, 102,692.01 and 40,880.50 is: 56,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.50 : 102,692.01 = 40,880.50 : x
  2. Step 2: Convert to fraction form
    74,414.50/102,692.01 = 40,880.50/x
  3. Step 3: Cross multiply
    74,414.50x = 102,692.01 × 40,880.50
  4. Step 4: Simplify right side
    74,414.50x = 4,198,100,714.81
  5. Step 5: Solve for x
    x = 4,198,100,714.81/74,414.50
  6. Step 6: Final answer
    x = 56,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.