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Finding the Fourth Proportional to 71,328.82, 107,003.66 and 21,412.86

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Solution

The fourth proportional to 71,328.82, 107,003.66 and 21,412.86 is: 32,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,328.82 : 107,003.66 = 21,412.86 : x
  2. Step 2: Convert to fraction form
    71,328.82/107,003.66 = 21,412.86/x
  3. Step 3: Cross multiply
    71,328.82x = 107,003.66 × 21,412.86
  4. Step 4: Simplify right side
    71,328.82x = 2,291,254,391.07
  5. Step 5: Solve for x
    x = 2,291,254,391.07/71,328.82
  6. Step 6: Final answer
    x = 32,122.42

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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.