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Finding the Fourth Proportional to 75,105.73, 103,650.87 and 43,276.65

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Solution

The fourth proportional to 75,105.73, 103,650.87 and 43,276.65 is: 59,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105.73 : 103,650.87 = 43,276.65 : x
  2. Step 2: Convert to fraction form
    75,105.73/103,650.87 = 43,276.65/x
  3. Step 3: Cross multiply
    75,105.73x = 103,650.87 × 43,276.65
  4. Step 4: Simplify right side
    75,105.73x = 4,485,662,423.19
  5. Step 5: Solve for x
    x = 4,485,662,423.19/75,105.73
  6. Step 6: Final answer
    x = 59,724.64

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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.