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Finding the Fourth Proportional to 35,045.09, 48,355 and 20,138.21

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Solution

The fourth proportional to 35,045.09, 48,355 and 20,138.21 is: 27,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,045.09 : 48,355 = 20,138.21 : x
  2. Step 2: Convert to fraction form
    35,045.09/48,355 = 20,138.21/x
  3. Step 3: Cross multiply
    35,045.09x = 48,355 × 20,138.21
  4. Step 4: Simplify right side
    35,045.09x = 973,783,144.55
  5. Step 5: Solve for x
    x = 973,783,144.55/35,045.09
  6. Step 6: Final answer
    x = 27,786.58

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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.