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Finding the Fourth Proportional to 43,056.52, 64,524.62 and 20,864

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Solution

The fourth proportional to 43,056.52, 64,524.62 and 20,864 is: 31,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,056.52 : 64,524.62 = 20,864 : x
  2. Step 2: Convert to fraction form
    43,056.52/64,524.62 = 20,864/x
  3. Step 3: Cross multiply
    43,056.52x = 64,524.62 × 20,864
  4. Step 4: Simplify right side
    43,056.52x = 1,346,241,671.68
  5. Step 5: Solve for x
    x = 1,346,241,671.68/43,056.52
  6. Step 6: Final answer
    x = 31,266.85

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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.