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Finding the Fourth Proportional to 45,686, 63,046.68 and 25,814

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Solution

The fourth proportional to 45,686, 63,046.68 and 25,814 is: 35,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,686 : 63,046.68 = 25,814 : x
  2. Step 2: Convert to fraction form
    45,686/63,046.68 = 25,814/x
  3. Step 3: Cross multiply
    45,686x = 63,046.68 × 25,814
  4. Step 4: Simplify right side
    45,686x = 1,627,486,997.52
  5. Step 5: Solve for x
    x = 1,627,486,997.52/45,686
  6. Step 6: Final answer
    x = 35,623.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.