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Finding the Fourth Proportional to 71,786.68, 107,685.30 and 21,871.04

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Solution

The fourth proportional to 71,786.68, 107,685.30 and 21,871.04 is: 32,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.68 : 107,685.30 = 21,871.04 : x
  2. Step 2: Convert to fraction form
    71,786.68/107,685.30 = 21,871.04/x
  3. Step 3: Cross multiply
    71,786.68x = 107,685.30 × 21,871.04
  4. Step 4: Simplify right side
    71,786.68x = 2,355,189,503.71
  5. Step 5: Solve for x
    x = 2,355,189,503.71/71,786.68
  6. Step 6: Final answer
    x = 32,808.17

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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.