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Finding the Fourth Proportional to 43,895, 65,843.28 and 14,312.72

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Solution

The fourth proportional to 43,895, 65,843.28 and 14,312.72 is: 21,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,895 : 65,843.28 = 14,312.72 : x
  2. Step 2: Convert to fraction form
    43,895/65,843.28 = 14,312.72/x
  3. Step 3: Cross multiply
    43,895x = 65,843.28 × 14,312.72
  4. Step 4: Simplify right side
    43,895x = 942,396,430.52
  5. Step 5: Solve for x
    x = 942,396,430.52/43,895
  6. Step 6: Final answer
    x = 21,469.33

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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.