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Finding the Fourth Proportional to 204,808.60, 307,212.90 and 120,827.80

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Solution

The fourth proportional to 204,808.60, 307,212.90 and 120,827.80 is: 181,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,808.60 : 307,212.90 = 120,827.80 : x
  2. Step 2: Convert to fraction form
    204,808.60/307,212.90 = 120,827.80/x
  3. Step 3: Cross multiply
    204,808.60x = 307,212.90 × 120,827.80
  4. Step 4: Simplify right side
    204,808.60x = 37,119,858,838.62
  5. Step 5: Solve for x
    x = 37,119,858,838.62/204,808.60
  6. Step 6: Final answer
    x = 181,241.70

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1.5x scale

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.