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Finding the Fourth Proportional to 71,503.52, 107,213.56 and 21,568.64

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Solution

The fourth proportional to 71,503.52, 107,213.56 and 21,568.64 is: 32,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.52 : 107,213.56 = 21,568.64 : x
  2. Step 2: Convert to fraction form
    71,503.52/107,213.56 = 21,568.64/x
  3. Step 3: Cross multiply
    71,503.52x = 107,213.56 × 21,568.64
  4. Step 4: Simplify right side
    71,503.52x = 2,312,450,088.77
  5. Step 5: Solve for x
    x = 2,312,450,088.77/71,503.52
  6. Step 6: Final answer
    x = 32,340.37

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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.