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Finding the Fourth Proportional to 50,842, 70,161.96 and 30,970

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Solution

The fourth proportional to 50,842, 70,161.96 and 30,970 is: 42,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842 : 70,161.96 = 30,970 : x
  2. Step 2: Convert to fraction form
    50,842/70,161.96 = 30,970/x
  3. Step 3: Cross multiply
    50,842x = 70,161.96 × 30,970
  4. Step 4: Simplify right side
    50,842x = 2,172,915,901.20
  5. Step 5: Solve for x
    x = 2,172,915,901.20/50,842
  6. Step 6: Final answer
    x = 42,738.60

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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.