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Finding the Fourth Proportional to 57,402.09, 86,110.90 and 19,957.31

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Solution

The fourth proportional to 57,402.09, 86,110.90 and 19,957.31 is: 29,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402.09 : 86,110.90 = 19,957.31 : x
  2. Step 2: Convert to fraction form
    57,402.09/86,110.90 = 19,957.31/x
  3. Step 3: Cross multiply
    57,402.09x = 86,110.90 × 19,957.31
  4. Step 4: Simplify right side
    57,402.09x = 1,718,542,409.09
  5. Step 5: Solve for x
    x = 1,718,542,409.09/57,402.09
  6. Step 6: Final answer
    x = 29,938.67

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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.