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Finding the Fourth Proportional to 35,189.98, 48,550.14 and 20,071.78

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Solution

The fourth proportional to 35,189.98, 48,550.14 and 20,071.78 is: 27,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189.98 : 48,550.14 = 20,071.78 : x
  2. Step 2: Convert to fraction form
    35,189.98/48,550.14 = 20,071.78/x
  3. Step 3: Cross multiply
    35,189.98x = 48,550.14 × 20,071.78
  4. Step 4: Simplify right side
    35,189.98x = 974,487,729.05
  5. Step 5: Solve for x
    x = 974,487,729.05/35,189.98
  6. Step 6: Final answer
    x = 27,692.19

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