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Finding the Fourth Proportional to 35,072, 48,400.80 and 20,168

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Solution

The fourth proportional to 35,072, 48,400.80 and 20,168 is: 27,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072 : 48,400.80 = 20,168 : x
  2. Step 2: Convert to fraction form
    35,072/48,400.80 = 20,168/x
  3. Step 3: Cross multiply
    35,072x = 48,400.80 × 20,168
  4. Step 4: Simplify right side
    35,072x = 976,147,334.40
  5. Step 5: Solve for x
    x = 976,147,334.40/35,072
  6. Step 6: Final answer
    x = 27,832.67

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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.