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Finding the Fourth Proportional to 36,641, 54,958.94 and 19,120.68

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Solution

The fourth proportional to 36,641, 54,958.94 and 19,120.68 is: 28,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641 : 54,958.94 = 19,120.68 : x
  2. Step 2: Convert to fraction form
    36,641/54,958.94 = 19,120.68/x
  3. Step 3: Cross multiply
    36,641x = 54,958.94 × 19,120.68
  4. Step 4: Simplify right side
    36,641x = 1,050,852,304.88
  5. Step 5: Solve for x
    x = 1,050,852,304.88/36,641
  6. Step 6: Final answer
    x = 28,679.68

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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.