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Finding the Fourth Proportional to 77,078.61, 115,604.27 and 20,923.08

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Solution

The fourth proportional to 77,078.61, 115,604.27 and 20,923.08 is: 31,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.61 : 115,604.27 = 20,923.08 : x
  2. Step 2: Convert to fraction form
    77,078.61/115,604.27 = 20,923.08/x
  3. Step 3: Cross multiply
    77,078.61x = 115,604.27 × 20,923.08
  4. Step 4: Simplify right side
    77,078.61x = 2,418,797,284.94
  5. Step 5: Solve for x
    x = 2,418,797,284.94/77,078.61
  6. Step 6: Final answer
    x = 31,380.91

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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.