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Finding the Fourth Proportional to 53,342, 79,997.88 and 22,138.64

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Solution

The fourth proportional to 53,342, 79,997.88 and 22,138.64 is: 33,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,342 : 79,997.88 = 22,138.64 : x
  2. Step 2: Convert to fraction form
    53,342/79,997.88 = 22,138.64/x
  3. Step 3: Cross multiply
    53,342x = 79,997.88 × 22,138.64
  4. Step 4: Simplify right side
    53,342x = 1,771,044,266.08
  5. Step 5: Solve for x
    x = 1,771,044,266.08/53,342
  6. Step 6: Final answer
    x = 33,201.68

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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.