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Finding the Fourth Proportional to 43,163.34, 64,728 and 20,970.15

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Solution

The fourth proportional to 43,163.34, 64,728 and 20,970.15 is: 31,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,163.34 : 64,728 = 20,970.15 : x
  2. Step 2: Convert to fraction form
    43,163.34/64,728 = 20,970.15/x
  3. Step 3: Cross multiply
    43,163.34x = 64,728 × 20,970.15
  4. Step 4: Simplify right side
    43,163.34x = 1,357,355,869.20
  5. Step 5: Solve for x
    x = 1,357,355,869.20/43,163.34
  6. Step 6: Final answer
    x = 31,446.96

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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.