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Finding the Fourth Proportional to 57,788, 86,682 and 14,012

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Solution

The fourth proportional to 57,788, 86,682 and 14,012 is: 21,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788 : 86,682 = 14,012 : x
  2. Step 2: Convert to fraction form
    57,788/86,682 = 14,012/x
  3. Step 3: Cross multiply
    57,788x = 86,682 × 14,012
  4. Step 4: Simplify right side
    57,788x = 1,214,588,184
  5. Step 5: Solve for x
    x = 1,214,588,184/57,788
  6. Step 6: Final answer
    x = 21,018

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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.