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Finding the Fourth Proportional to 76,608.70, 105,632.83 and 53,940.44

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Solution

The fourth proportional to 76,608.70, 105,632.83 and 53,940.44 is: 74,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.70 : 105,632.83 = 53,940.44 : x
  2. Step 2: Convert to fraction form
    76,608.70/105,632.83 = 53,940.44/x
  3. Step 3: Cross multiply
    76,608.70x = 105,632.83 × 53,940.44
  4. Step 4: Simplify right side
    76,608.70x = 5,697,881,328.65
  5. Step 5: Solve for x
    x = 5,697,881,328.65/76,608.70
  6. Step 6: Final answer
    x = 74,376.43

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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.