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Finding the Fourth Proportional to 58,186, 80,296.68 and 31,690

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Solution

The fourth proportional to 58,186, 80,296.68 and 31,690 is: 43,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,186 : 80,296.68 = 31,690 : x
  2. Step 2: Convert to fraction form
    58,186/80,296.68 = 31,690/x
  3. Step 3: Cross multiply
    58,186x = 80,296.68 × 31,690
  4. Step 4: Simplify right side
    58,186x = 2,544,601,789.20
  5. Step 5: Solve for x
    x = 2,544,601,789.20/58,186
  6. Step 6: Final answer
    x = 43,732.20

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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.