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Finding the Fourth Proportional to 76,147.63, 105,069.14 and 49,286.41

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Solution

The fourth proportional to 76,147.63, 105,069.14 and 49,286.41 is: 68,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.63 : 105,069.14 = 49,286.41 : x
  2. Step 2: Convert to fraction form
    76,147.63/105,069.14 = 49,286.41/x
  3. Step 3: Cross multiply
    76,147.63x = 105,069.14 × 49,286.41
  4. Step 4: Simplify right side
    76,147.63x = 5,178,480,187.04
  5. Step 5: Solve for x
    x = 5,178,480,187.04/76,147.63
  6. Step 6: Final answer
    x = 68,005.80

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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.