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Finding the Fourth Proportional to 87,178, 130,786.44 and 31,774

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Solution

The fourth proportional to 87,178, 130,786.44 and 31,774 is: 47,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,178 : 130,786.44 = 31,774 : x
  2. Step 2: Convert to fraction form
    87,178/130,786.44 = 31,774/x
  3. Step 3: Cross multiply
    87,178x = 130,786.44 × 31,774
  4. Step 4: Simplify right side
    87,178x = 4,155,608,344.56
  5. Step 5: Solve for x
    x = 4,155,608,344.56/87,178
  6. Step 6: Final answer
    x = 47,668.09

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Why These Related Problems?

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