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Finding the Fourth Proportional to 261,365.78, 392,052.97 and 71,824.97

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Solution

The fourth proportional to 261,365.78, 392,052.97 and 71,824.97 is: 107,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,365.78 : 392,052.97 = 71,824.97 : x
  2. Step 2: Convert to fraction form
    261,365.78/392,052.97 = 71,824.97/x
  3. Step 3: Cross multiply
    261,365.78x = 392,052.97 × 71,824.97
  4. Step 4: Simplify right side
    261,365.78x = 28,159,190,668.83
  5. Step 5: Solve for x
    x = 28,159,190,668.83/261,365.78
  6. Step 6: Final answer
    x = 107,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.