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Finding the Fourth Proportional to 76,892.85, 106,092.09 and 45,044.64

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Solution

The fourth proportional to 76,892.85, 106,092.09 and 45,044.64 is: 62,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.85 : 106,092.09 = 45,044.64 : x
  2. Step 2: Convert to fraction form
    76,892.85/106,092.09 = 45,044.64/x
  3. Step 3: Cross multiply
    76,892.85x = 106,092.09 × 45,044.64
  4. Step 4: Simplify right side
    76,892.85x = 4,778,880,000.90
  5. Step 5: Solve for x
    x = 4,778,880,000.90/76,892.85
  6. Step 6: Final answer
    x = 62,149.86

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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.