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Finding the Fourth Proportional to 56,489.63, 84,734.42 and 21,429.29

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Solution

The fourth proportional to 56,489.63, 84,734.42 and 21,429.29 is: 32,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.63 : 84,734.42 = 21,429.29 : x
  2. Step 2: Convert to fraction form
    56,489.63/84,734.42 = 21,429.29/x
  3. Step 3: Cross multiply
    56,489.63x = 84,734.42 × 21,429.29
  4. Step 4: Simplify right side
    56,489.63x = 1,815,797,928.34
  5. Step 5: Solve for x
    x = 1,815,797,928.34/56,489.63
  6. Step 6: Final answer
    x = 32,143.92

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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.