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Finding the Fourth Proportional to 70,930.53, 106,421.20 and 30,387.03

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Solution

The fourth proportional to 70,930.53, 106,421.20 and 30,387.03 is: 45,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,930.53 : 106,421.20 = 30,387.03 : x
  2. Step 2: Convert to fraction form
    70,930.53/106,421.20 = 30,387.03/x
  3. Step 3: Cross multiply
    70,930.53x = 106,421.20 × 30,387.03
  4. Step 4: Simplify right side
    70,930.53x = 3,233,824,121.07
  5. Step 5: Solve for x
    x = 3,233,824,121.07/70,930.53
  6. Step 6: Final answer
    x = 45,591.43

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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.