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Finding the Fourth Proportional to 102,783.28, 154,172.52 and 47,379.28

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Solution

The fourth proportional to 102,783.28, 154,172.52 and 47,379.28 is: 71,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783.28 : 154,172.52 = 47,379.28 : x
  2. Step 2: Convert to fraction form
    102,783.28/154,172.52 = 47,379.28/x
  3. Step 3: Cross multiply
    102,783.28x = 154,172.52 × 47,379.28
  4. Step 4: Simplify right side
    102,783.28x = 7,304,582,993.39
  5. Step 5: Solve for x
    x = 7,304,582,993.39/102,783.28
  6. Step 6: Final answer
    x = 71,067.81

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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.