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Finding the Fourth Proportional to 87,186, 130,798.44 and 31,782

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Solution

The fourth proportional to 87,186, 130,798.44 and 31,782 is: 47,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,186 : 130,798.44 = 31,782 : x
  2. Step 2: Convert to fraction form
    87,186/130,798.44 = 31,782/x
  3. Step 3: Cross multiply
    87,186x = 130,798.44 × 31,782
  4. Step 4: Simplify right side
    87,186x = 4,157,036,020.08
  5. Step 5: Solve for x
    x = 4,157,036,020.08/87,186
  6. Step 6: Final answer
    x = 47,680.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.