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Finding the Fourth Proportional to 56,578, 84,867 and 19,642

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Solution

The fourth proportional to 56,578, 84,867 and 19,642 is: 29,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578 : 84,867 = 19,642 : x
  2. Step 2: Convert to fraction form
    56,578/84,867 = 19,642/x
  3. Step 3: Cross multiply
    56,578x = 84,867 × 19,642
  4. Step 4: Simplify right side
    56,578x = 1,666,957,614
  5. Step 5: Solve for x
    x = 1,666,957,614/56,578
  6. Step 6: Final answer
    x = 29,463

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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.