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Finding the Fourth Proportional to 52,661.82, 78,992.72 and 21,086.10

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Solution

The fourth proportional to 52,661.82, 78,992.72 and 21,086.10 is: 31,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,661.82 : 78,992.72 = 21,086.10 : x
  2. Step 2: Convert to fraction form
    52,661.82/78,992.72 = 21,086.10/x
  3. Step 3: Cross multiply
    52,661.82x = 78,992.72 × 21,086.10
  4. Step 4: Simplify right side
    52,661.82x = 1,665,648,287.76
  5. Step 5: Solve for x
    x = 1,665,648,287.76/52,661.82
  6. Step 6: Final answer
    x = 31,629.14

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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.