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Finding the Fourth Proportional to 76,148, 105,069.66 and 49,286.78

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Solution

The fourth proportional to 76,148, 105,069.66 and 49,286.78 is: 68,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 105,069.66 = 49,286.78 : x
  2. Step 2: Convert to fraction form
    76,148/105,069.66 = 49,286.78/x
  3. Step 3: Cross multiply
    76,148x = 105,069.66 × 49,286.78
  4. Step 4: Simplify right side
    76,148x = 5,178,545,217.09
  5. Step 5: Solve for x
    x = 5,178,545,217.09/76,148
  6. Step 6: Final answer
    x = 68,006.32

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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.