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Finding the Fourth Proportional to 71,532.60, 107,257.14 and 21,597.72

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Solution

The fourth proportional to 71,532.60, 107,257.14 and 21,597.72 is: 32,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.60 : 107,257.14 = 21,597.72 : x
  2. Step 2: Convert to fraction form
    71,532.60/107,257.14 = 21,597.72/x
  3. Step 3: Cross multiply
    71,532.60x = 107,257.14 × 21,597.72
  4. Step 4: Simplify right side
    71,532.60x = 2,316,509,677.72
  5. Step 5: Solve for x
    x = 2,316,509,677.72/71,532.60
  6. Step 6: Final answer
    x = 32,383.97

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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.