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Finding the Fourth Proportional to 51,384, 77,104.80 and 50,992.32

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Solution

The fourth proportional to 51,384, 77,104.80 and 50,992.32 is: 76,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384 : 77,104.80 = 50,992.32 : x
  2. Step 2: Convert to fraction form
    51,384/77,104.80 = 50,992.32/x
  3. Step 3: Cross multiply
    51,384x = 77,104.80 × 50,992.32
  4. Step 4: Simplify right side
    51,384x = 3,931,752,635.14
  5. Step 5: Solve for x
    x = 3,931,752,635.14/51,384
  6. Step 6: Final answer
    x = 76,517.06

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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.