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Finding the Fourth Proportional to 53,405.84, 80,107.89 and 21,808.96

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Solution

The fourth proportional to 53,405.84, 80,107.89 and 21,808.96 is: 32,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.84 : 80,107.89 = 21,808.96 : x
  2. Step 2: Convert to fraction form
    53,405.84/80,107.89 = 21,808.96/x
  3. Step 3: Cross multiply
    53,405.84x = 80,107.89 × 21,808.96
  4. Step 4: Simplify right side
    53,405.84x = 1,747,069,768.69
  5. Step 5: Solve for x
    x = 1,747,069,768.69/53,405.84
  6. Step 6: Final answer
    x = 32,713.08

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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.