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Finding the Fourth Proportional to 77,571.70, 116,364.22 and 21,411.81

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Solution

The fourth proportional to 77,571.70, 116,364.22 and 21,411.81 is: 32,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571.70 : 116,364.22 = 21,411.81 : x
  2. Step 2: Convert to fraction form
    77,571.70/116,364.22 = 21,411.81/x
  3. Step 3: Cross multiply
    77,571.70x = 116,364.22 × 21,411.81
  4. Step 4: Simplify right side
    77,571.70x = 2,491,569,032.57
  5. Step 5: Solve for x
    x = 2,491,569,032.57/77,571.70
  6. Step 6: Final answer
    x = 32,119.56

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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.