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Finding the Fourth Proportional to 76,671, 115,006.50 and 21,267

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Solution

The fourth proportional to 76,671, 115,006.50 and 21,267 is: 31,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671 : 115,006.50 = 21,267 : x
  2. Step 2: Convert to fraction form
    76,671/115,006.50 = 21,267/x
  3. Step 3: Cross multiply
    76,671x = 115,006.50 × 21,267
  4. Step 4: Simplify right side
    76,671x = 2,445,843,235.50
  5. Step 5: Solve for x
    x = 2,445,843,235.50/76,671
  6. Step 6: Final answer
    x = 31,900.50

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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.