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Finding the Fourth Proportional to 97,910, 135,115.80 and 58,166

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Solution

The fourth proportional to 97,910, 135,115.80 and 58,166 is: 80,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,910 : 135,115.80 = 58,166 : x
  2. Step 2: Convert to fraction form
    97,910/135,115.80 = 58,166/x
  3. Step 3: Cross multiply
    97,910x = 135,115.80 × 58,166
  4. Step 4: Simplify right side
    97,910x = 7,859,145,622.80
  5. Step 5: Solve for x
    x = 7,859,145,622.80/97,910
  6. Step 6: Final answer
    x = 80,269.08

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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.