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Finding the Fourth Proportional to 35,507.34, 49,003.06 and 20,198.70

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Solution

The fourth proportional to 35,507.34, 49,003.06 and 20,198.70 is: 27,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.34 : 49,003.06 = 20,198.70 : x
  2. Step 2: Convert to fraction form
    35,507.34/49,003.06 = 20,198.70/x
  3. Step 3: Cross multiply
    35,507.34x = 49,003.06 × 20,198.70
  4. Step 4: Simplify right side
    35,507.34x = 989,798,108.02
  5. Step 5: Solve for x
    x = 989,798,108.02/35,507.34
  6. Step 6: Final answer
    x = 27,875.87

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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.