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Finding the Fourth Proportional to 207,951.20, 311,926.80 and 102,748.40

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Solution

The fourth proportional to 207,951.20, 311,926.80 and 102,748.40 is: 154,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,951.20 : 311,926.80 = 102,748.40 : x
  2. Step 2: Convert to fraction form
    207,951.20/311,926.80 = 102,748.40/x
  3. Step 3: Cross multiply
    207,951.20x = 311,926.80 × 102,748.40
  4. Step 4: Simplify right side
    207,951.20x = 32,049,979,617.12
  5. Step 5: Solve for x
    x = 32,049,979,617.12/207,951.20
  6. Step 6: Final answer
    x = 154,122.60

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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.