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Finding the Fourth Proportional to 56,419.84, 84,540.72 and 20,832.16

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Solution

The fourth proportional to 56,419.84, 84,540.72 and 20,832.16 is: 31,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.84 : 84,540.72 = 20,832.16 : x
  2. Step 2: Convert to fraction form
    56,419.84/84,540.72 = 20,832.16/x
  3. Step 3: Cross multiply
    56,419.84x = 84,540.72 × 20,832.16
  4. Step 4: Simplify right side
    56,419.84x = 1,761,165,805.56
  5. Step 5: Solve for x
    x = 1,761,165,805.56/56,419.84
  6. Step 6: Final answer
    x = 31,215.36

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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.