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Finding the Fourth Proportional to 189,721.76, 284,593.76 and 71,394.12

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Solution

The fourth proportional to 189,721.76, 284,593.76 and 71,394.12 is: 107,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,721.76 : 284,593.76 = 71,394.12 : x
  2. Step 2: Convert to fraction form
    189,721.76/284,593.76 = 71,394.12/x
  3. Step 3: Cross multiply
    189,721.76x = 284,593.76 × 71,394.12
  4. Step 4: Simplify right side
    189,721.76x = 20,318,321,052.69
  5. Step 5: Solve for x
    x = 20,318,321,052.69/189,721.76
  6. Step 6: Final answer
    x = 107,095.36

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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.