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Finding the Fourth Proportional to 71,504.77, 107,257.91 and 21,585.28

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Solution

The fourth proportional to 71,504.77, 107,257.91 and 21,585.28 is: 32,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,504.77 : 107,257.91 = 21,585.28 : x
  2. Step 2: Convert to fraction form
    71,504.77/107,257.91 = 21,585.28/x
  3. Step 3: Cross multiply
    71,504.77x = 107,257.91 × 21,585.28
  4. Step 4: Simplify right side
    71,504.77x = 2,315,191,805.38
  5. Step 5: Solve for x
    x = 2,315,191,805.38/71,504.77
  6. Step 6: Final answer
    x = 32,378.15

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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.