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Finding the Fourth Proportional to 76,956, 106,199.28 and 43,422

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Solution

The fourth proportional to 76,956, 106,199.28 and 43,422 is: 59,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956 : 106,199.28 = 43,422 : x
  2. Step 2: Convert to fraction form
    76,956/106,199.28 = 43,422/x
  3. Step 3: Cross multiply
    76,956x = 106,199.28 × 43,422
  4. Step 4: Simplify right side
    76,956x = 4,611,385,136.16
  5. Step 5: Solve for x
    x = 4,611,385,136.16/76,956
  6. Step 6: Final answer
    x = 59,922.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.