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Finding the Fourth Proportional to 71,946.28, 107,906.34 and 19,343.48

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Solution

The fourth proportional to 71,946.28, 107,906.34 and 19,343.48 is: 29,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.28 : 107,906.34 = 19,343.48 : x
  2. Step 2: Convert to fraction form
    71,946.28/107,906.34 = 19,343.48/x
  3. Step 3: Cross multiply
    71,946.28x = 107,906.34 × 19,343.48
  4. Step 4: Simplify right side
    71,946.28x = 2,087,284,129.66
  5. Step 5: Solve for x
    x = 2,087,284,129.66/71,946.28
  6. Step 6: Final answer
    x = 29,011.70

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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.