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Finding the Fourth Proportional to 253,872, 350,343.36 and 140,711.76

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Solution

The fourth proportional to 253,872, 350,343.36 and 140,711.76 is: 194,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872 : 350,343.36 = 140,711.76 : x
  2. Step 2: Convert to fraction form
    253,872/350,343.36 = 140,711.76/x
  3. Step 3: Cross multiply
    253,872x = 350,343.36 × 140,711.76
  4. Step 4: Simplify right side
    253,872x = 49,297,430,789.91
  5. Step 5: Solve for x
    x = 49,297,430,789.91/253,872
  6. Step 6: Final answer
    x = 194,182.23

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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.