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Finding the Fourth Proportional to 43,712.64, 65,581.20 and 21,532.68

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Solution

The fourth proportional to 43,712.64, 65,581.20 and 21,532.68 is: 32,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712.64 : 65,581.20 = 21,532.68 : x
  2. Step 2: Convert to fraction form
    43,712.64/65,581.20 = 21,532.68/x
  3. Step 3: Cross multiply
    43,712.64x = 65,581.20 × 21,532.68
  4. Step 4: Simplify right side
    43,712.64x = 1,412,138,993.62
  5. Step 5: Solve for x
    x = 1,412,138,993.62/43,712.64
  6. Step 6: Final answer
    x = 32,305.05

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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.