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Finding the Fourth Proportional to 77,324, 115,986 and 18,956

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Solution

The fourth proportional to 77,324, 115,986 and 18,956 is: 28,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324 : 115,986 = 18,956 : x
  2. Step 2: Convert to fraction form
    77,324/115,986 = 18,956/x
  3. Step 3: Cross multiply
    77,324x = 115,986 × 18,956
  4. Step 4: Simplify right side
    77,324x = 2,198,630,616
  5. Step 5: Solve for x
    x = 2,198,630,616/77,324
  6. Step 6: Final answer
    x = 28,434

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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.