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Finding the Fourth Proportional to 76,857, 106,064.28 and 43,323

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Solution

The fourth proportional to 76,857, 106,064.28 and 43,323 is: 59,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857 : 106,064.28 = 43,323 : x
  2. Step 2: Convert to fraction form
    76,857/106,064.28 = 43,323/x
  3. Step 3: Cross multiply
    76,857x = 106,064.28 × 43,323
  4. Step 4: Simplify right side
    76,857x = 4,595,022,802.44
  5. Step 5: Solve for x
    x = 4,595,022,802.44/76,857
  6. Step 6: Final answer
    x = 59,786.65

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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.