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Finding the Fourth Proportional to 207,546.60, 311,319.90 and 102,570.60

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Solution

The fourth proportional to 207,546.60, 311,319.90 and 102,570.60 is: 153,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546.60 : 311,319.90 = 102,570.60 : x
  2. Step 2: Convert to fraction form
    207,546.60/311,319.90 = 102,570.60/x
  3. Step 3: Cross multiply
    207,546.60x = 311,319.90 × 102,570.60
  4. Step 4: Simplify right side
    207,546.60x = 31,932,268,934.94
  5. Step 5: Solve for x
    x = 31,932,268,934.94/207,546.60
  6. Step 6: Final answer
    x = 153,855.90

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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.