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Finding the Fourth Proportional to 204,946.60, 307,419.90 and 120,965.80

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Solution

The fourth proportional to 204,946.60, 307,419.90 and 120,965.80 is: 181,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,946.60 : 307,419.90 = 120,965.80 : x
  2. Step 2: Convert to fraction form
    204,946.60/307,419.90 = 120,965.80/x
  3. Step 3: Cross multiply
    204,946.60x = 307,419.90 × 120,965.80
  4. Step 4: Simplify right side
    204,946.60x = 37,187,294,139.42
  5. Step 5: Solve for x
    x = 37,187,294,139.42/204,946.60
  6. Step 6: Final answer
    x = 181,448.70

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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.