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Finding the Fourth Proportional to 198,571.69, 274,031.71 and 107,927.63

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Solution

The fourth proportional to 198,571.69, 274,031.71 and 107,927.63 is: 148,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.69 : 274,031.71 = 107,927.63 : x
  2. Step 2: Convert to fraction form
    198,571.69/274,031.71 = 107,927.63/x
  3. Step 3: Cross multiply
    198,571.69x = 274,031.71 × 107,927.63
  4. Step 4: Simplify right side
    198,571.69x = 29,575,593,005.15
  5. Step 5: Solve for x
    x = 29,575,593,005.15/198,571.69
  6. Step 6: Final answer
    x = 148,941.64

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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.