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Finding the Fourth Proportional to 97,939, 135,156.90 and 53,227

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Solution

The fourth proportional to 97,939, 135,156.90 and 53,227 is: 73,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,939 : 135,156.90 = 53,227 : x
  2. Step 2: Convert to fraction form
    97,939/135,156.90 = 53,227/x
  3. Step 3: Cross multiply
    97,939x = 135,156.90 × 53,227
  4. Step 4: Simplify right side
    97,939x = 7,193,996,316.30
  5. Step 5: Solve for x
    x = 7,193,996,316.30/97,939
  6. Step 6: Final answer
    x = 73,453.85

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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.