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Finding the Fourth Proportional to 80,287.86, 110,815.68 and 53,431.50

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Solution

The fourth proportional to 80,287.86, 110,815.68 and 53,431.50 is: 73,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.86 : 110,815.68 = 53,431.50 : x
  2. Step 2: Convert to fraction form
    80,287.86/110,815.68 = 53,431.50/x
  3. Step 3: Cross multiply
    80,287.86x = 110,815.68 × 53,431.50
  4. Step 4: Simplify right side
    80,287.86x = 5,921,048,005.92
  5. Step 5: Solve for x
    x = 5,921,048,005.92/80,287.86
  6. Step 6: Final answer
    x = 73,747.74

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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.