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Finding the Fourth Proportional to 89,343.69, 133,896.13 and 47,213.76

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Solution

The fourth proportional to 89,343.69, 133,896.13 and 47,213.76 is: 70,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,343.69 : 133,896.13 = 47,213.76 : x
  2. Step 2: Convert to fraction form
    89,343.69/133,896.13 = 47,213.76/x
  3. Step 3: Cross multiply
    89,343.69x = 133,896.13 × 47,213.76
  4. Step 4: Simplify right side
    89,343.69x = 6,321,739,746.75
  5. Step 5: Solve for x
    x = 6,321,739,746.75/89,343.69
  6. Step 6: Final answer
    x = 70,757.54

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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.