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Finding the Fourth Proportional to 171,202.68, 256,858.70 and 82,465.16

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Solution

The fourth proportional to 171,202.68, 256,858.70 and 82,465.16 is: 123,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,202.68 : 256,858.70 = 82,465.16 : x
  2. Step 2: Convert to fraction form
    171,202.68/256,858.70 = 82,465.16/x
  3. Step 3: Cross multiply
    171,202.68x = 256,858.70 × 82,465.16
  4. Step 4: Simplify right side
    171,202.68x = 21,181,893,792.89
  5. Step 5: Solve for x
    x = 21,181,893,792.89/171,202.68
  6. Step 6: Final answer
    x = 123,724.08

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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.