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Finding the Fourth Proportional to 71,322.86, 106,984.19 and 21,402.88

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Solution

The fourth proportional to 71,322.86, 106,984.19 and 21,402.88 is: 32,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.86 : 106,984.19 = 21,402.88 : x
  2. Step 2: Convert to fraction form
    71,322.86/106,984.19 = 21,402.88/x
  3. Step 3: Cross multiply
    71,322.86x = 106,984.19 × 21,402.88
  4. Step 4: Simplify right side
    71,322.86x = 2,289,769,566.51
  5. Step 5: Solve for x
    x = 2,289,769,566.51/71,322.86
  6. Step 6: Final answer
    x = 32,104.29

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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.