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Finding the Fourth Proportional to 35,082, 48,413.16 and 20,178

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Solution

The fourth proportional to 35,082, 48,413.16 and 20,178 is: 27,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082 : 48,413.16 = 20,178 : x
  2. Step 2: Convert to fraction form
    35,082/48,413.16 = 20,178/x
  3. Step 3: Cross multiply
    35,082x = 48,413.16 × 20,178
  4. Step 4: Simplify right side
    35,082x = 976,880,742.48
  5. Step 5: Solve for x
    x = 976,880,742.48/35,082
  6. Step 6: Final answer
    x = 27,845.64

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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.