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Finding the Fourth Proportional to 185,645.53, 256,196.31 and 100,768.06

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Solution

The fourth proportional to 185,645.53, 256,196.31 and 100,768.06 is: 139,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,645.53 : 256,196.31 = 100,768.06 : x
  2. Step 2: Convert to fraction form
    185,645.53/256,196.31 = 100,768.06/x
  3. Step 3: Cross multiply
    185,645.53x = 256,196.31 × 100,768.06
  4. Step 4: Simplify right side
    185,645.53x = 25,816,405,080.22
  5. Step 5: Solve for x
    x = 25,816,405,080.22/185,645.53
  6. Step 6: Final answer
    x = 139,062.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.