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Finding the Fourth Proportional to 50,870, 70,183.80 and 30,719.23

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Solution

The fourth proportional to 50,870, 70,183.80 and 30,719.23 is: 42,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 70,183.80 = 30,719.23 : x
  2. Step 2: Convert to fraction form
    50,870/70,183.80 = 30,719.23/x
  3. Step 3: Cross multiply
    50,870x = 70,183.80 × 30,719.23
  4. Step 4: Simplify right side
    50,870x = 2,155,992,294.47
  5. Step 5: Solve for x
    x = 2,155,992,294.47/50,870
  6. Step 6: Final answer
    x = 42,382.39

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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.