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Finding the Fourth Proportional to 76,666, 114,999 and 21,262

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Solution

The fourth proportional to 76,666, 114,999 and 21,262 is: 31,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666 : 114,999 = 21,262 : x
  2. Step 2: Convert to fraction form
    76,666/114,999 = 21,262/x
  3. Step 3: Cross multiply
    76,666x = 114,999 × 21,262
  4. Step 4: Simplify right side
    76,666x = 2,445,108,738
  5. Step 5: Solve for x
    x = 2,445,108,738/76,666
  6. Step 6: Final answer
    x = 31,893

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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.