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Finding the Fourth Proportional to 78,473.92, 108,338.64 and 51,694.24

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Solution

The fourth proportional to 78,473.92, 108,338.64 and 51,694.24 is: 71,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.92 : 108,338.64 = 51,694.24 : x
  2. Step 2: Convert to fraction form
    78,473.92/108,338.64 = 51,694.24/x
  3. Step 3: Cross multiply
    78,473.92x = 108,338.64 × 51,694.24
  4. Step 4: Simplify right side
    78,473.92x = 5,600,483,657.43
  5. Step 5: Solve for x
    x = 5,600,483,657.43/78,473.92
  6. Step 6: Final answer
    x = 71,367.45

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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.