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Finding the Fourth Proportional to 76,570, 114,855 and 21,166

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Solution

The fourth proportional to 76,570, 114,855 and 21,166 is: 31,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,570 : 114,855 = 21,166 : x
  2. Step 2: Convert to fraction form
    76,570/114,855 = 21,166/x
  3. Step 3: Cross multiply
    76,570x = 114,855 × 21,166
  4. Step 4: Simplify right side
    76,570x = 2,431,020,930
  5. Step 5: Solve for x
    x = 2,431,020,930/76,570
  6. Step 6: Final answer
    x = 31,749

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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.