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Finding the Fourth Proportional to 71,409.60, 107,129.38 and 21,493.35

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Solution

The fourth proportional to 71,409.60, 107,129.38 and 21,493.35 is: 32,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.60 : 107,129.38 = 21,493.35 : x
  2. Step 2: Convert to fraction form
    71,409.60/107,129.38 = 21,493.35/x
  3. Step 3: Cross multiply
    71,409.60x = 107,129.38 × 21,493.35
  4. Step 4: Simplify right side
    71,409.60x = 2,302,569,259.62
  5. Step 5: Solve for x
    x = 2,302,569,259.62/71,409.60
  6. Step 6: Final answer
    x = 32,244.53

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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.