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Finding the Fourth Proportional to 53,162, 79,695.96 and 19,859.60

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Solution

The fourth proportional to 53,162, 79,695.96 and 19,859.60 is: 29,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,162 : 79,695.96 = 19,859.60 : x
  2. Step 2: Convert to fraction form
    53,162/79,695.96 = 19,859.60/x
  3. Step 3: Cross multiply
    53,162x = 79,695.96 × 19,859.60
  4. Step 4: Simplify right side
    53,162x = 1,582,729,887.22
  5. Step 5: Solve for x
    x = 1,582,729,887.22/53,162
  6. Step 6: Final answer
    x = 29,771.83

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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.