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Finding the Fourth Proportional to 51,940.61, 71,662.10 and 31,776.47

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Solution

The fourth proportional to 51,940.61, 71,662.10 and 31,776.47 is: 43,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940.61 : 71,662.10 = 31,776.47 : x
  2. Step 2: Convert to fraction form
    51,940.61/71,662.10 = 31,776.47/x
  3. Step 3: Cross multiply
    51,940.61x = 71,662.10 × 31,776.47
  4. Step 4: Simplify right side
    51,940.61x = 2,277,168,212.48
  5. Step 5: Solve for x
    x = 2,277,168,212.48/51,940.61
  6. Step 6: Final answer
    x = 43,841.77

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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.