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Finding the Fourth Proportional to 252,504.84, 378,692.04 and 74,971.68

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Solution

The fourth proportional to 252,504.84, 378,692.04 and 74,971.68 is: 112,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,504.84 : 378,692.04 = 74,971.68 : x
  2. Step 2: Convert to fraction form
    252,504.84/378,692.04 = 74,971.68/x
  3. Step 3: Cross multiply
    252,504.84x = 378,692.04 × 74,971.68
  4. Step 4: Simplify right side
    252,504.84x = 28,391,178,441.43
  5. Step 5: Solve for x
    x = 28,391,178,441.43/252,504.84
  6. Step 6: Final answer
    x = 112,438.16

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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.