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Finding the Fourth Proportional to 57,580.44, 86,363.32 and 20,139

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Solution

The fourth proportional to 57,580.44, 86,363.32 and 20,139 is: 30,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,580.44 : 86,363.32 = 20,139 : x
  2. Step 2: Convert to fraction form
    57,580.44/86,363.32 = 20,139/x
  3. Step 3: Cross multiply
    57,580.44x = 86,363.32 × 20,139
  4. Step 4: Simplify right side
    57,580.44x = 1,739,270,901.48
  5. Step 5: Solve for x
    x = 1,739,270,901.48/57,580.44
  6. Step 6: Final answer
    x = 30,205.93

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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.