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Finding the Fourth Proportional to 56,287.44, 84,419.64 and 21,207.76

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Solution

The fourth proportional to 56,287.44, 84,419.64 and 21,207.76 is: 31,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,287.44 : 84,419.64 = 21,207.76 : x
  2. Step 2: Convert to fraction form
    56,287.44/84,419.64 = 21,207.76/x
  3. Step 3: Cross multiply
    56,287.44x = 84,419.64 × 21,207.76
  4. Step 4: Simplify right side
    56,287.44x = 1,790,351,464.41
  5. Step 5: Solve for x
    x = 1,790,351,464.41/56,287.44
  6. Step 6: Final answer
    x = 31,807.30

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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.