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Finding the Fourth Proportional to 43,869, 65,810.34 and 14,279.85

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Solution

The fourth proportional to 43,869, 65,810.34 and 14,279.85 is: 21,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,869 : 65,810.34 = 14,279.85 : x
  2. Step 2: Convert to fraction form
    43,869/65,810.34 = 14,279.85/x
  3. Step 3: Cross multiply
    43,869x = 65,810.34 × 14,279.85
  4. Step 4: Simplify right side
    43,869x = 939,761,783.65
  5. Step 5: Solve for x
    x = 939,761,783.65/43,869
  6. Step 6: Final answer
    x = 21,422.00

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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.