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Finding the Fourth Proportional to 76,825.50, 115,257.69 and 21,421.50

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Solution

The fourth proportional to 76,825.50, 115,257.69 and 21,421.50 is: 32,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825.50 : 115,257.69 = 21,421.50 : x
  2. Step 2: Convert to fraction form
    76,825.50/115,257.69 = 21,421.50/x
  3. Step 3: Cross multiply
    76,825.50x = 115,257.69 × 21,421.50
  4. Step 4: Simplify right side
    76,825.50x = 2,468,992,606.34
  5. Step 5: Solve for x
    x = 2,468,992,606.34/76,825.50
  6. Step 6: Final answer
    x = 32,137.67

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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.