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Finding the Fourth Proportional to 171,306.77, 256,812.39 and 82,438.02

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Solution

The fourth proportional to 171,306.77, 256,812.39 and 82,438.02 is: 123,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,306.77 : 256,812.39 = 82,438.02 : x
  2. Step 2: Convert to fraction form
    171,306.77/256,812.39 = 82,438.02/x
  3. Step 3: Cross multiply
    171,306.77x = 256,812.39 × 82,438.02
  4. Step 4: Simplify right side
    171,306.77x = 21,171,104,943.07
  5. Step 5: Solve for x
    x = 21,171,104,943.07/171,306.77
  6. Step 6: Final answer
    x = 123,585.92

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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.