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Finding the Fourth Proportional to 57,883.12, 86,826.48 and 19,932

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Solution

The fourth proportional to 57,883.12, 86,826.48 and 19,932 is: 29,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,883.12 : 86,826.48 = 19,932 : x
  2. Step 2: Convert to fraction form
    57,883.12/86,826.48 = 19,932/x
  3. Step 3: Cross multiply
    57,883.12x = 86,826.48 × 19,932
  4. Step 4: Simplify right side
    57,883.12x = 1,730,625,399.36
  5. Step 5: Solve for x
    x = 1,730,625,399.36/57,883.12
  6. Step 6: Final answer
    x = 29,898.62

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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.