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Finding the Fourth Proportional to 52,890, 72,954 and 36,968.64

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Solution

The fourth proportional to 52,890, 72,954 and 36,968.64 is: 50,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,890 : 72,954 = 36,968.64 : x
  2. Step 2: Convert to fraction form
    52,890/72,954 = 36,968.64/x
  3. Step 3: Cross multiply
    52,890x = 72,954 × 36,968.64
  4. Step 4: Simplify right side
    52,890x = 2,697,010,162.56
  5. Step 5: Solve for x
    x = 2,697,010,162.56/52,890
  6. Step 6: Final answer
    x = 50,992.82

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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.