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Finding the Fourth Proportional to 70,731.84, 106,089.84 and 18,142.56

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Solution

The fourth proportional to 70,731.84, 106,089.84 and 18,142.56 is: 27,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,731.84 : 106,089.84 = 18,142.56 : x
  2. Step 2: Convert to fraction form
    70,731.84/106,089.84 = 18,142.56/x
  3. Step 3: Cross multiply
    70,731.84x = 106,089.84 × 18,142.56
  4. Step 4: Simplify right side
    70,731.84x = 1,924,741,287.59
  5. Step 5: Solve for x
    x = 1,924,741,287.59/70,731.84
  6. Step 6: Final answer
    x = 27,211.81

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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.