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Finding the Fourth Proportional to 51,823.32, 77,739.84 and 20,661

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Solution

The fourth proportional to 51,823.32, 77,739.84 and 20,661 is: 30,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,823.32 : 77,739.84 = 20,661 : x
  2. Step 2: Convert to fraction form
    51,823.32/77,739.84 = 20,661/x
  3. Step 3: Cross multiply
    51,823.32x = 77,739.84 × 20,661
  4. Step 4: Simplify right side
    51,823.32x = 1,606,182,834.24
  5. Step 5: Solve for x
    x = 1,606,182,834.24/51,823.32
  6. Step 6: Final answer
    x = 30,993.44

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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.