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Finding the Fourth Proportional to 45,590.80, 68,379.36 and 14,422

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Solution

The fourth proportional to 45,590.80, 68,379.36 and 14,422 is: 21,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,590.80 : 68,379.36 = 14,422 : x
  2. Step 2: Convert to fraction form
    45,590.80/68,379.36 = 14,422/x
  3. Step 3: Cross multiply
    45,590.80x = 68,379.36 × 14,422
  4. Step 4: Simplify right side
    45,590.80x = 986,167,129.92
  5. Step 5: Solve for x
    x = 986,167,129.92/45,590.80
  6. Step 6: Final answer
    x = 21,630.84

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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.