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Finding the Fourth Proportional to 59,619, 82,291.50 and 39,747

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Solution

The fourth proportional to 59,619, 82,291.50 and 39,747 is: 54,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,619 : 82,291.50 = 39,747 : x
  2. Step 2: Convert to fraction form
    59,619/82,291.50 = 39,747/x
  3. Step 3: Cross multiply
    59,619x = 82,291.50 × 39,747
  4. Step 4: Simplify right side
    59,619x = 3,270,840,250.50
  5. Step 5: Solve for x
    x = 3,270,840,250.50/59,619
  6. Step 6: Final answer
    x = 54,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.