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Finding the Fourth Proportional to 87,195, 130,811.94 and 31,791

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Solution

The fourth proportional to 87,195, 130,811.94 and 31,791 is: 47,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,195 : 130,811.94 = 31,791 : x
  2. Step 2: Convert to fraction form
    87,195/130,811.94 = 31,791/x
  3. Step 3: Cross multiply
    87,195x = 130,811.94 × 31,791
  4. Step 4: Simplify right side
    87,195x = 4,158,642,384.54
  5. Step 5: Solve for x
    x = 4,158,642,384.54/87,195
  6. Step 6: Final answer
    x = 47,693.59

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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.