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Finding the Fourth Proportional to 58,124, 87,198.96 and 21,188

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Solution

The fourth proportional to 58,124, 87,198.96 and 21,188 is: 31,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,124 : 87,198.96 = 21,188 : x
  2. Step 2: Convert to fraction form
    58,124/87,198.96 = 21,188/x
  3. Step 3: Cross multiply
    58,124x = 87,198.96 × 21,188
  4. Step 4: Simplify right side
    58,124x = 1,847,571,564.48
  5. Step 5: Solve for x
    x = 1,847,571,564.48/58,124
  6. Step 6: Final answer
    x = 31,786.72

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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.