Home / 51,825.32-77,742.84-20,663

Finding the Fourth Proportional to 51,825.32, 77,742.84 and 20,663

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Solution

The fourth proportional to 51,825.32, 77,742.84 and 20,663 is: 30,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825.32 : 77,742.84 = 20,663 : x
  2. Step 2: Convert to fraction form
    51,825.32/77,742.84 = 20,663/x
  3. Step 3: Cross multiply
    51,825.32x = 77,742.84 × 20,663
  4. Step 4: Simplify right side
    51,825.32x = 1,606,400,302.92
  5. Step 5: Solve for x
    x = 1,606,400,302.92/51,825.32
  6. Step 6: Final answer
    x = 30,996.44

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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.