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Finding the Fourth Proportional to 68,698.34, 103,053.81 and 21,313.79

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Solution

The fourth proportional to 68,698.34, 103,053.81 and 21,313.79 is: 31,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,698.34 : 103,053.81 = 21,313.79 : x
  2. Step 2: Convert to fraction form
    68,698.34/103,053.81 = 21,313.79/x
  3. Step 3: Cross multiply
    68,698.34x = 103,053.81 × 21,313.79
  4. Step 4: Simplify right side
    68,698.34x = 2,196,467,265.04
  5. Step 5: Solve for x
    x = 2,196,467,265.04/68,698.34
  6. Step 6: Final answer
    x = 31,972.64

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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.