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Finding the Fourth Proportional to 77,324.40, 115,986.60 and 27,404.10

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Solution

The fourth proportional to 77,324.40, 115,986.60 and 27,404.10 is: 41,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.40 : 115,986.60 = 27,404.10 : x
  2. Step 2: Convert to fraction form
    77,324.40/115,986.60 = 27,404.10/x
  3. Step 3: Cross multiply
    77,324.40x = 115,986.60 × 27,404.10
  4. Step 4: Simplify right side
    77,324.40x = 3,178,508,385.06
  5. Step 5: Solve for x
    x = 3,178,508,385.06/77,324.40
  6. Step 6: Final answer
    x = 41,106.15

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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.