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Finding the Fourth Proportional to 204,066.60, 306,099.90 and 133,207.80

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Solution

The fourth proportional to 204,066.60, 306,099.90 and 133,207.80 is: 199,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,066.60 : 306,099.90 = 133,207.80 : x
  2. Step 2: Convert to fraction form
    204,066.60/306,099.90 = 133,207.80/x
  3. Step 3: Cross multiply
    204,066.60x = 306,099.90 × 133,207.80
  4. Step 4: Simplify right side
    204,066.60x = 40,774,894,259.22
  5. Step 5: Solve for x
    x = 40,774,894,259.22/204,066.60
  6. Step 6: Final answer
    x = 199,811.70

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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.