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Finding the Fourth Proportional to 381,047.63, 571,571.71 and 96,759.50

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Solution

The fourth proportional to 381,047.63, 571,571.71 and 96,759.50 is: 145,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.63 : 571,571.71 = 96,759.50 : x
  2. Step 2: Convert to fraction form
    381,047.63/571,571.71 = 96,759.50/x
  3. Step 3: Cross multiply
    381,047.63x = 571,571.71 × 96,759.50
  4. Step 4: Simplify right side
    381,047.63x = 55,304,989,773.99
  5. Step 5: Solve for x
    x = 55,304,989,773.99/381,047.63
  6. Step 6: Final answer
    x = 145,139.31

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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.