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Finding the Fourth Proportional to 86,066, 129,099 and 27,698

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Solution

The fourth proportional to 86,066, 129,099 and 27,698 is: 41,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,066 : 129,099 = 27,698 : x
  2. Step 2: Convert to fraction form
    86,066/129,099 = 27,698/x
  3. Step 3: Cross multiply
    86,066x = 129,099 × 27,698
  4. Step 4: Simplify right side
    86,066x = 3,575,784,102
  5. Step 5: Solve for x
    x = 3,575,784,102/86,066
  6. Step 6: Final answer
    x = 41,547

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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.