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Finding the Fourth Proportional to 58,125, 87,200.46 and 21,189

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Solution

The fourth proportional to 58,125, 87,200.46 and 21,189 is: 31,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,125 : 87,200.46 = 21,189 : x
  2. Step 2: Convert to fraction form
    58,125/87,200.46 = 21,189/x
  3. Step 3: Cross multiply
    58,125x = 87,200.46 × 21,189
  4. Step 4: Simplify right side
    58,125x = 1,847,690,546.94
  5. Step 5: Solve for x
    x = 1,847,690,546.94/58,125
  6. Step 6: Final answer
    x = 31,788.22

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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.