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Finding the Fourth Proportional to 71,308.15, 106,955.84 and 21,399.39

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Solution

The fourth proportional to 71,308.15, 106,955.84 and 21,399.39 is: 32,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,308.15 : 106,955.84 = 21,399.39 : x
  2. Step 2: Convert to fraction form
    71,308.15/106,955.84 = 21,399.39/x
  3. Step 3: Cross multiply
    71,308.15x = 106,955.84 × 21,399.39
  4. Step 4: Simplify right side
    71,308.15x = 2,288,789,786.44
  5. Step 5: Solve for x
    x = 2,288,789,786.44/71,308.15
  6. Step 6: Final answer
    x = 32,097.17

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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.