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Finding the Fourth Proportional to 51,402, 77,109.12 and 18,115.14

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Solution

The fourth proportional to 51,402, 77,109.12 and 18,115.14 is: 27,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402 : 77,109.12 = 18,115.14 : x
  2. Step 2: Convert to fraction form
    51,402/77,109.12 = 18,115.14/x
  3. Step 3: Cross multiply
    51,402x = 77,109.12 × 18,115.14
  4. Step 4: Simplify right side
    51,402x = 1,396,842,504.08
  5. Step 5: Solve for x
    x = 1,396,842,504.08/51,402
  6. Step 6: Final answer
    x = 27,174.87

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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.