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Finding the Fourth Proportional to 76,470, 114,705 and 21,066

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Solution

The fourth proportional to 76,470, 114,705 and 21,066 is: 31,599

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470 : 114,705 = 21,066 : x
  2. Step 2: Convert to fraction form
    76,470/114,705 = 21,066/x
  3. Step 3: Cross multiply
    76,470x = 114,705 × 21,066
  4. Step 4: Simplify right side
    76,470x = 2,416,375,530
  5. Step 5: Solve for x
    x = 2,416,375,530/76,470
  6. Step 6: Final answer
    x = 31,599

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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.