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Finding the Fourth Proportional to 87,230.96, 130,846.52 and 31,814

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Solution

The fourth proportional to 87,230.96, 130,846.52 and 31,814 is: 47,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,230.96 : 130,846.52 = 31,814 : x
  2. Step 2: Convert to fraction form
    87,230.96/130,846.52 = 31,814/x
  3. Step 3: Cross multiply
    87,230.96x = 130,846.52 × 31,814
  4. Step 4: Simplify right side
    87,230.96x = 4,162,751,187.28
  5. Step 5: Solve for x
    x = 4,162,751,187.28/87,230.96
  6. Step 6: Final answer
    x = 47,721.03

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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.