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Finding the Fourth Proportional to 56,733, 85,138.38 and 19,797

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Solution

The fourth proportional to 56,733, 85,138.38 and 19,797 is: 29,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,733 : 85,138.38 = 19,797 : x
  2. Step 2: Convert to fraction form
    56,733/85,138.38 = 19,797/x
  3. Step 3: Cross multiply
    56,733x = 85,138.38 × 19,797
  4. Step 4: Simplify right side
    56,733x = 1,685,484,508.86
  5. Step 5: Solve for x
    x = 1,685,484,508.86/56,733
  6. Step 6: Final answer
    x = 29,709.07

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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.