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Finding the Fourth Proportional to 231,309.55, 319,192.41 and 129,343.42

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Solution

The fourth proportional to 231,309.55, 319,192.41 and 129,343.42 is: 178,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,309.55 : 319,192.41 = 129,343.42 : x
  2. Step 2: Convert to fraction form
    231,309.55/319,192.41 = 129,343.42/x
  3. Step 3: Cross multiply
    231,309.55x = 319,192.41 × 129,343.42
  4. Step 4: Simplify right side
    231,309.55x = 41,285,437,947.44
  5. Step 5: Solve for x
    x = 41,285,437,947.44/231,309.55
  6. Step 6: Final answer
    x = 178,485.66

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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.