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Finding the Fourth Proportional to 71,580.56, 107,371.85 and 21,661.07

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Solution

The fourth proportional to 71,580.56, 107,371.85 and 21,661.07 is: 32,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,580.56 : 107,371.85 = 21,661.07 : x
  2. Step 2: Convert to fraction form
    71,580.56/107,371.85 = 21,661.07/x
  3. Step 3: Cross multiply
    71,580.56x = 107,371.85 × 21,661.07
  4. Step 4: Simplify right side
    71,580.56x = 2,325,788,513.71
  5. Step 5: Solve for x
    x = 2,325,788,513.71/71,580.56
  6. Step 6: Final answer
    x = 32,491.90

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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.