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Finding the Fourth Proportional to 189,381.56, 284,061.20 and 71,042.99

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Solution

The fourth proportional to 189,381.56, 284,061.20 and 71,042.99 is: 106,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.56 : 284,061.20 = 71,042.99 : x
  2. Step 2: Convert to fraction form
    189,381.56/284,061.20 = 71,042.99/x
  3. Step 3: Cross multiply
    189,381.56x = 284,061.20 × 71,042.99
  4. Step 4: Simplify right side
    189,381.56x = 20,180,555,215.47
  5. Step 5: Solve for x
    x = 20,180,555,215.47/189,381.56
  6. Step 6: Final answer
    x = 106,560.30

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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.