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Finding the Fourth Proportional to 203,612.60, 306,002.10 and 177,951.80

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Solution

The fourth proportional to 203,612.60, 306,002.10 and 177,951.80 is: 267,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,612.60 : 306,002.10 = 177,951.80 : x
  2. Step 2: Convert to fraction form
    203,612.60/306,002.10 = 177,951.80/x
  3. Step 3: Cross multiply
    203,612.60x = 306,002.10 × 177,951.80
  4. Step 4: Simplify right side
    203,612.60x = 54,453,624,498.78
  5. Step 5: Solve for x
    x = 54,453,624,498.78/203,612.60
  6. Step 6: Final answer
    x = 267,437.40

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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.