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Finding the Fourth Proportional to 71,688.50, 107,525.79 and 21,769.02

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Solution

The fourth proportional to 71,688.50, 107,525.79 and 21,769.02 is: 32,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,688.50 : 107,525.79 = 21,769.02 : x
  2. Step 2: Convert to fraction form
    71,688.50/107,525.79 = 21,769.02/x
  3. Step 3: Cross multiply
    71,688.50x = 107,525.79 × 21,769.02
  4. Step 4: Simplify right side
    71,688.50x = 2,340,731,476.25
  5. Step 5: Solve for x
    x = 2,340,731,476.25/71,688.50
  6. Step 6: Final answer
    x = 32,651.42

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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.