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Finding the Fourth Proportional to 117,855.96, 162,696.86 and 75,439.10

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Solution

The fourth proportional to 117,855.96, 162,696.86 and 75,439.10 is: 104,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,855.96 : 162,696.86 = 75,439.10 : x
  2. Step 2: Convert to fraction form
    117,855.96/162,696.86 = 75,439.10/x
  3. Step 3: Cross multiply
    117,855.96x = 162,696.86 × 75,439.10
  4. Step 4: Simplify right side
    117,855.96x = 12,273,703,500.55
  5. Step 5: Solve for x
    x = 12,273,703,500.55/117,855.96
  6. Step 6: Final answer
    x = 104,141.56

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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.