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Finding the Fourth Proportional to 97,993.88, 135,207.90 and 62,171

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Solution

The fourth proportional to 97,993.88, 135,207.90 and 62,171 is: 85,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,993.88 : 135,207.90 = 62,171 : x
  2. Step 2: Convert to fraction form
    97,993.88/135,207.90 = 62,171/x
  3. Step 3: Cross multiply
    97,993.88x = 135,207.90 × 62,171
  4. Step 4: Simplify right side
    97,993.88x = 8,406,010,350.90
  5. Step 5: Solve for x
    x = 8,406,010,350.90/97,993.88
  6. Step 6: Final answer
    x = 85,780.97

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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.