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Finding the Fourth Proportional to 56,731, 85,135.38 and 19,795

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Solution

The fourth proportional to 56,731, 85,135.38 and 19,795 is: 29,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,731 : 85,135.38 = 19,795 : x
  2. Step 2: Convert to fraction form
    56,731/85,135.38 = 19,795/x
  3. Step 3: Cross multiply
    56,731x = 85,135.38 × 19,795
  4. Step 4: Simplify right side
    56,731x = 1,685,254,847.10
  5. Step 5: Solve for x
    x = 1,685,254,847.10/56,731
  6. Step 6: Final answer
    x = 29,706.07

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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.