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Finding the Fourth Proportional to 89,229.60, 133,581.44 and 78,157.91

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Solution

The fourth proportional to 89,229.60, 133,581.44 and 78,157.91 is: 117,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,229.60 : 133,581.44 = 78,157.91 : x
  2. Step 2: Convert to fraction form
    89,229.60/133,581.44 = 78,157.91/x
  3. Step 3: Cross multiply
    89,229.60x = 133,581.44 × 78,157.91
  4. Step 4: Simplify right side
    89,229.60x = 10,440,446,254.90
  5. Step 5: Solve for x
    x = 10,440,446,254.90/89,229.60
  6. Step 6: Final answer
    x = 117,006.53

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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.