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Finding the Fourth Proportional to 51,575.78, 77,367.77 and 21,993.87

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Solution

The fourth proportional to 51,575.78, 77,367.77 and 21,993.87 is: 32,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,575.78 : 77,367.77 = 21,993.87 : x
  2. Step 2: Convert to fraction form
    51,575.78/77,367.77 = 21,993.87/x
  3. Step 3: Cross multiply
    51,575.78x = 77,367.77 × 21,993.87
  4. Step 4: Simplify right side
    51,575.78x = 1,701,616,178.76
  5. Step 5: Solve for x
    x = 1,701,616,178.76/51,575.78
  6. Step 6: Final answer
    x = 32,992.55

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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.