Home / 51,874.56-77,832-20,731.68

Finding the Fourth Proportional to 51,874.56, 77,832 and 20,731.68

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Solution

The fourth proportional to 51,874.56, 77,832 and 20,731.68 is: 31,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.56 : 77,832 = 20,731.68 : x
  2. Step 2: Convert to fraction form
    51,874.56/77,832 = 20,731.68/x
  3. Step 3: Cross multiply
    51,874.56x = 77,832 × 20,731.68
  4. Step 4: Simplify right side
    51,874.56x = 1,613,588,117.76
  5. Step 5: Solve for x
    x = 1,613,588,117.76/51,874.56
  6. Step 6: Final answer
    x = 31,105.58

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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.