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Finding the Fourth Proportional to 71,706.08, 107,564.80 and 21,790.54

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Solution

The fourth proportional to 71,706.08, 107,564.80 and 21,790.54 is: 32,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.08 : 107,564.80 = 21,790.54 : x
  2. Step 2: Convert to fraction form
    71,706.08/107,564.80 = 21,790.54/x
  3. Step 3: Cross multiply
    71,706.08x = 107,564.80 × 21,790.54
  4. Step 4: Simplify right side
    71,706.08x = 2,343,895,076.99
  5. Step 5: Solve for x
    x = 2,343,895,076.99/71,706.08
  6. Step 6: Final answer
    x = 32,687.54

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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.