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Finding the Fourth Proportional to 77,131.79, 115,715.03 and 27,212.30

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Solution

The fourth proportional to 77,131.79, 115,715.03 and 27,212.30 is: 40,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,131.79 : 115,715.03 = 27,212.30 : x
  2. Step 2: Convert to fraction form
    77,131.79/115,715.03 = 27,212.30/x
  3. Step 3: Cross multiply
    77,131.79x = 115,715.03 × 27,212.30
  4. Step 4: Simplify right side
    77,131.79x = 3,148,872,634.13
  5. Step 5: Solve for x
    x = 3,148,872,634.13/77,131.79
  6. Step 6: Final answer
    x = 40,824.57

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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.