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Finding the Fourth Proportional to 51,065.36, 76,581.03 and 21,477.68

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Solution

The fourth proportional to 51,065.36, 76,581.03 and 21,477.68 is: 32,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065.36 : 76,581.03 = 21,477.68 : x
  2. Step 2: Convert to fraction form
    51,065.36/76,581.03 = 21,477.68/x
  3. Step 3: Cross multiply
    51,065.36x = 76,581.03 × 21,477.68
  4. Step 4: Simplify right side
    51,065.36x = 1,644,782,856.41
  5. Step 5: Solve for x
    x = 1,644,782,856.41/51,065.36
  6. Step 6: Final answer
    x = 32,209.37

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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.