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Finding the Fourth Proportional to 76,819.50, 115,230.06 and 21,415.50

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Solution

The fourth proportional to 76,819.50, 115,230.06 and 21,415.50 is: 32,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,819.50 : 115,230.06 = 21,415.50 : x
  2. Step 2: Convert to fraction form
    76,819.50/115,230.06 = 21,415.50/x
  3. Step 3: Cross multiply
    76,819.50x = 115,230.06 × 21,415.50
  4. Step 4: Simplify right side
    76,819.50x = 2,467,709,349.93
  5. Step 5: Solve for x
    x = 2,467,709,349.93/76,819.50
  6. Step 6: Final answer
    x = 32,123.48

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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.