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Finding the Fourth Proportional to 231,762.62, 319,976.93 and 177,940.55

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Solution

The fourth proportional to 231,762.62, 319,976.93 and 177,940.55 is: 245,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,762.62 : 319,976.93 = 177,940.55 : x
  2. Step 2: Convert to fraction form
    231,762.62/319,976.93 = 177,940.55/x
  3. Step 3: Cross multiply
    231,762.62x = 319,976.93 × 177,940.55
  4. Step 4: Simplify right side
    231,762.62x = 56,936,870,911.51
  5. Step 5: Solve for x
    x = 56,936,870,911.51/231,762.62
  6. Step 6: Final answer
    x = 245,668.91

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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.