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Finding the Fourth Proportional to 68,769, 103,154.42 and 22,021.88

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Solution

The fourth proportional to 68,769, 103,154.42 and 22,021.88 is: 33,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769 : 103,154.42 = 22,021.88 : x
  2. Step 2: Convert to fraction form
    68,769/103,154.42 = 22,021.88/x
  3. Step 3: Cross multiply
    68,769x = 103,154.42 × 22,021.88
  4. Step 4: Simplify right side
    68,769x = 2,271,654,258.71
  5. Step 5: Solve for x
    x = 2,271,654,258.71/68,769
  6. Step 6: Final answer
    x = 33,033.11

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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.