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Finding the Fourth Proportional to 76,143.29, 105,078.98 and 41,687.44

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Solution

The fourth proportional to 76,143.29, 105,078.98 and 41,687.44 is: 57,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143.29 : 105,078.98 = 41,687.44 : x
  2. Step 2: Convert to fraction form
    76,143.29/105,078.98 = 41,687.44/x
  3. Step 3: Cross multiply
    76,143.29x = 105,078.98 × 41,687.44
  4. Step 4: Simplify right side
    76,143.29x = 4,380,473,569.79
  5. Step 5: Solve for x
    x = 4,380,473,569.79/76,143.29
  6. Step 6: Final answer
    x = 57,529.35

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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.