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Finding the Fourth Proportional to 50,843, 70,163.34 and 30,971

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Solution

The fourth proportional to 50,843, 70,163.34 and 30,971 is: 42,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,843 : 70,163.34 = 30,971 : x
  2. Step 2: Convert to fraction form
    50,843/70,163.34 = 30,971/x
  3. Step 3: Cross multiply
    50,843x = 70,163.34 × 30,971
  4. Step 4: Simplify right side
    50,843x = 2,173,028,803.14
  5. Step 5: Solve for x
    x = 2,173,028,803.14/50,843
  6. Step 6: Final answer
    x = 42,739.98

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1.5x scale

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.