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Finding the Fourth Proportional to 77,630.21, 116,469.91 and 27,709.20

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Solution

The fourth proportional to 77,630.21, 116,469.91 and 27,709.20 is: 41,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,630.21 : 116,469.91 = 27,709.20 : x
  2. Step 2: Convert to fraction form
    77,630.21/116,469.91 = 27,709.20/x
  3. Step 3: Cross multiply
    77,630.21x = 116,469.91 × 27,709.20
  4. Step 4: Simplify right side
    77,630.21x = 3,227,288,030.17
  5. Step 5: Solve for x
    x = 3,227,288,030.17/77,630.21
  6. Step 6: Final answer
    x = 41,572.58

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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.