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Finding the Fourth Proportional to 73,309.68, 109,964.34 and 17,905.68

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Solution

The fourth proportional to 73,309.68, 109,964.34 and 17,905.68 is: 26,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,309.68 : 109,964.34 = 17,905.68 : x
  2. Step 2: Convert to fraction form
    73,309.68/109,964.34 = 17,905.68/x
  3. Step 3: Cross multiply
    73,309.68x = 109,964.34 × 17,905.68
  4. Step 4: Simplify right side
    73,309.68x = 1,968,986,283.45
  5. Step 5: Solve for x
    x = 1,968,986,283.45/73,309.68
  6. Step 6: Final answer
    x = 26,858.48

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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.