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Finding the Fourth Proportional to 77,394, 106,826.52 and 50,540.64

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Solution

The fourth proportional to 77,394, 106,826.52 and 50,540.64 is: 69,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394 : 106,826.52 = 50,540.64 : x
  2. Step 2: Convert to fraction form
    77,394/106,826.52 = 50,540.64/x
  3. Step 3: Cross multiply
    77,394x = 106,826.52 × 50,540.64
  4. Step 4: Simplify right side
    77,394x = 5,399,080,689.77
  5. Step 5: Solve for x
    x = 5,399,080,689.77/77,394
  6. Step 6: Final answer
    x = 69,760.97

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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.