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Finding the Fourth Proportional to 103,189.33, 154,784 and 82,544.05

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Solution

The fourth proportional to 103,189.33, 154,784 and 82,544.05 is: 123,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,189.33 : 154,784 = 82,544.05 : x
  2. Step 2: Convert to fraction form
    103,189.33/154,784 = 82,544.05/x
  3. Step 3: Cross multiply
    103,189.33x = 154,784 × 82,544.05
  4. Step 4: Simplify right side
    103,189.33x = 12,776,498,235.20
  5. Step 5: Solve for x
    x = 12,776,498,235.20/103,189.33
  6. Step 6: Final answer
    x = 123,816.08

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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.