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Finding the Fourth Proportional to 205,657.29, 308,361.39 and 134,494.04

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Solution

The fourth proportional to 205,657.29, 308,361.39 and 134,494.04 is: 201,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,657.29 : 308,361.39 = 134,494.04 : x
  2. Step 2: Convert to fraction form
    205,657.29/308,361.39 = 134,494.04/x
  3. Step 3: Cross multiply
    205,657.29x = 308,361.39 × 134,494.04
  4. Step 4: Simplify right side
    205,657.29x = 41,472,767,579.31
  5. Step 5: Solve for x
    x = 41,472,767,579.31/205,657.29
  6. Step 6: Final answer
    x = 201,659.60

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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.