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Finding the Fourth Proportional to 78,455.92, 117,490.12 and 41,047.44

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Solution

The fourth proportional to 78,455.92, 117,490.12 and 41,047.44 is: 61,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.92 : 117,490.12 = 41,047.44 : x
  2. Step 2: Convert to fraction form
    78,455.92/117,490.12 = 41,047.44/x
  3. Step 3: Cross multiply
    78,455.92x = 117,490.12 × 41,047.44
  4. Step 4: Simplify right side
    78,455.92x = 4,822,668,651.29
  5. Step 5: Solve for x
    x = 4,822,668,651.29/78,455.92
  6. Step 6: Final answer
    x = 61,469.79

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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.