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Finding the Fourth Proportional to 185,596.42, 256,127.68 and 100,713.28

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Solution

The fourth proportional to 185,596.42, 256,127.68 and 100,713.28 is: 138,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,596.42 : 256,127.68 = 100,713.28 : x
  2. Step 2: Convert to fraction form
    185,596.42/256,127.68 = 100,713.28/x
  3. Step 3: Cross multiply
    185,596.42x = 256,127.68 × 100,713.28
  4. Step 4: Simplify right side
    185,596.42x = 25,795,458,751.59
  5. Step 5: Solve for x
    x = 25,795,458,751.59/185,596.42
  6. Step 6: Final answer
    x = 138,986.83

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Why These Related Problems?

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