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Finding the Fourth Proportional to 71,409.60, 107,113.86 and 21,489.48

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Solution

The fourth proportional to 71,409.60, 107,113.86 and 21,489.48 is: 32,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.60 : 107,113.86 = 21,489.48 : x
  2. Step 2: Convert to fraction form
    71,409.60/107,113.86 = 21,489.48/x
  3. Step 3: Cross multiply
    71,409.60x = 107,113.86 × 21,489.48
  4. Step 4: Simplify right side
    71,409.60x = 2,301,821,152.19
  5. Step 5: Solve for x
    x = 2,301,821,152.19/71,409.60
  6. Step 6: Final answer
    x = 32,234.06

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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.