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Finding the Fourth Proportional to 67,769.50, 101,654.26 and 18,521.50

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Solution

The fourth proportional to 67,769.50, 101,654.26 and 18,521.50 is: 27,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,769.50 : 101,654.26 = 18,521.50 : x
  2. Step 2: Convert to fraction form
    67,769.50/101,654.26 = 18,521.50/x
  3. Step 3: Cross multiply
    67,769.50x = 101,654.26 × 18,521.50
  4. Step 4: Simplify right side
    67,769.50x = 1,882,789,376.59
  5. Step 5: Solve for x
    x = 1,882,789,376.59/67,769.50
  6. Step 6: Final answer
    x = 27,782.25

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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.