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Finding the Fourth Proportional to 76,664, 114,996 and 21,260

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Solution

The fourth proportional to 76,664, 114,996 and 21,260 is: 31,890

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664 : 114,996 = 21,260 : x
  2. Step 2: Convert to fraction form
    76,664/114,996 = 21,260/x
  3. Step 3: Cross multiply
    76,664x = 114,996 × 21,260
  4. Step 4: Simplify right side
    76,664x = 2,444,814,960
  5. Step 5: Solve for x
    x = 2,444,814,960/76,664
  6. Step 6: Final answer
    x = 31,890

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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.