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Finding the Fourth Proportional to 43,664.88, 65,490.94 and 21,472.30

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Solution

The fourth proportional to 43,664.88, 65,490.94 and 21,472.30 is: 32,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664.88 : 65,490.94 = 21,472.30 : x
  2. Step 2: Convert to fraction form
    43,664.88/65,490.94 = 21,472.30/x
  3. Step 3: Cross multiply
    43,664.88x = 65,490.94 × 21,472.30
  4. Step 4: Simplify right side
    43,664.88x = 1,406,241,110.96
  5. Step 5: Solve for x
    x = 1,406,241,110.96/43,664.88
  6. Step 6: Final answer
    x = 32,205.31

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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.