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Finding the Fourth Proportional to 35,089, 48,422.82 and 20,185

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Solution

The fourth proportional to 35,089, 48,422.82 and 20,185 is: 27,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,089 : 48,422.82 = 20,185 : x
  2. Step 2: Convert to fraction form
    35,089/48,422.82 = 20,185/x
  3. Step 3: Cross multiply
    35,089x = 48,422.82 × 20,185
  4. Step 4: Simplify right side
    35,089x = 977,414,621.70
  5. Step 5: Solve for x
    x = 977,414,621.70/35,089
  6. Step 6: Final answer
    x = 27,855.30

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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.