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Finding the Fourth Proportional to 76,861, 106,068.36 and 43,327

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Solution

The fourth proportional to 76,861, 106,068.36 and 43,327 is: 59,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861 : 106,068.36 = 43,327 : x
  2. Step 2: Convert to fraction form
    76,861/106,068.36 = 43,327/x
  3. Step 3: Cross multiply
    76,861x = 106,068.36 × 43,327
  4. Step 4: Simplify right side
    76,861x = 4,595,623,833.72
  5. Step 5: Solve for x
    x = 4,595,623,833.72/76,861
  6. Step 6: Final answer
    x = 59,791.36

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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.