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Finding the Fourth Proportional to 128,527.43, 192,824.39 and 75,264.41

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Solution

The fourth proportional to 128,527.43, 192,824.39 and 75,264.41 is: 112,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,527.43 : 192,824.39 = 75,264.41 : x
  2. Step 2: Convert to fraction form
    128,527.43/192,824.39 = 75,264.41/x
  3. Step 3: Cross multiply
    128,527.43x = 192,824.39 × 75,264.41
  4. Step 4: Simplify right side
    128,527.43x = 14,512,813,171.00
  5. Step 5: Solve for x
    x = 14,512,813,171.00/128,527.43
  6. Step 6: Final answer
    x = 112,916.08

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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.