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Finding the Fourth Proportional to 56,514, 84,786.12 and 19,578

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Solution

The fourth proportional to 56,514, 84,786.12 and 19,578 is: 29,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514 : 84,786.12 = 19,578 : x
  2. Step 2: Convert to fraction form
    56,514/84,786.12 = 19,578/x
  3. Step 3: Cross multiply
    56,514x = 84,786.12 × 19,578
  4. Step 4: Simplify right side
    56,514x = 1,659,942,657.36
  5. Step 5: Solve for x
    x = 1,659,942,657.36/56,514
  6. Step 6: Final answer
    x = 29,372.24

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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.