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Finding the Fourth Proportional to 207,647.42, 311,543.41 and 65,514.64

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Solution

The fourth proportional to 207,647.42, 311,543.41 and 65,514.64 is: 98,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,647.42 : 311,543.41 = 65,514.64 : x
  2. Step 2: Convert to fraction form
    207,647.42/311,543.41 = 65,514.64/x
  3. Step 3: Cross multiply
    207,647.42x = 311,543.41 × 65,514.64
  4. Step 4: Simplify right side
    207,647.42x = 20,410,654,350.52
  5. Step 5: Solve for x
    x = 20,410,654,350.52/207,647.42
  6. Step 6: Final answer
    x = 98,294.76

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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.