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Finding the Fourth Proportional to 100,693.92, 138,957.41 and 57,687.34

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Solution

The fourth proportional to 100,693.92, 138,957.41 and 57,687.34 is: 79,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.92 : 138,957.41 = 57,687.34 : x
  2. Step 2: Convert to fraction form
    100,693.92/138,957.41 = 57,687.34/x
  3. Step 3: Cross multiply
    100,693.92x = 138,957.41 × 57,687.34
  4. Step 4: Simplify right side
    100,693.92x = 8,016,082,661.40
  5. Step 5: Solve for x
    x = 8,016,082,661.40/100,693.92
  6. Step 6: Final answer
    x = 79,608.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.