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Finding the Fourth Proportional to 76,646, 114,969 and 21,242

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Solution

The fourth proportional to 76,646, 114,969 and 21,242 is: 31,863

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646 : 114,969 = 21,242 : x
  2. Step 2: Convert to fraction form
    76,646/114,969 = 21,242/x
  3. Step 3: Cross multiply
    76,646x = 114,969 × 21,242
  4. Step 4: Simplify right side
    76,646x = 2,442,171,498
  5. Step 5: Solve for x
    x = 2,442,171,498/76,646
  6. Step 6: Final answer
    x = 31,863

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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.