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Finding the Fourth Proportional to 97,884, 135,079.92 and 53,172

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Solution

The fourth proportional to 97,884, 135,079.92 and 53,172 is: 73,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 135,079.92 = 53,172 : x
  2. Step 2: Convert to fraction form
    97,884/135,079.92 = 53,172/x
  3. Step 3: Cross multiply
    97,884x = 135,079.92 × 53,172
  4. Step 4: Simplify right side
    97,884x = 7,182,469,506.24
  5. Step 5: Solve for x
    x = 7,182,469,506.24/97,884
  6. Step 6: Final answer
    x = 73,377.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.