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Finding the Fourth Proportional to 70,811, 106,216.50 and 21,563

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Solution

The fourth proportional to 70,811, 106,216.50 and 21,563 is: 32,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811 : 106,216.50 = 21,563 : x
  2. Step 2: Convert to fraction form
    70,811/106,216.50 = 21,563/x
  3. Step 3: Cross multiply
    70,811x = 106,216.50 × 21,563
  4. Step 4: Simplify right side
    70,811x = 2,290,346,389.50
  5. Step 5: Solve for x
    x = 2,290,346,389.50/70,811
  6. Step 6: Final answer
    x = 32,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.