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Finding the Fourth Proportional to 185,259.57, 255,658.44 and 100,376.64

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Solution

The fourth proportional to 185,259.57, 255,658.44 and 100,376.64 is: 138,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,259.57 : 255,658.44 = 100,376.64 : x
  2. Step 2: Convert to fraction form
    185,259.57/255,658.44 = 100,376.64/x
  3. Step 3: Cross multiply
    185,259.57x = 255,658.44 × 100,376.64
  4. Step 4: Simplify right side
    185,259.57x = 25,662,135,194.84
  5. Step 5: Solve for x
    x = 25,662,135,194.84/185,259.57
  6. Step 6: Final answer
    x = 138,519.89

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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.