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Finding the Fourth Proportional to 71,503.43, 107,255.95 and 21,584.00

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Solution

The fourth proportional to 71,503.43, 107,255.95 and 21,584.00 is: 32,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.43 : 107,255.95 = 21,584.00 : x
  2. Step 2: Convert to fraction form
    71,503.43/107,255.95 = 21,584.00/x
  3. Step 3: Cross multiply
    71,503.43x = 107,255.95 × 21,584.00
  4. Step 4: Simplify right side
    71,503.43x = 2,315,012,638.98
  5. Step 5: Solve for x
    x = 2,315,012,638.98/71,503.43
  6. Step 6: Final answer
    x = 32,376.25

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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.