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Finding the Fourth Proportional to 207,690.75, 311,566.20 and 65,487.76

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Solution

The fourth proportional to 207,690.75, 311,566.20 and 65,487.76 is: 98,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,690.75 : 311,566.20 = 65,487.76 : x
  2. Step 2: Convert to fraction form
    207,690.75/311,566.20 = 65,487.76/x
  3. Step 3: Cross multiply
    207,690.75x = 311,566.20 × 65,487.76
  4. Step 4: Simplify right side
    207,690.75x = 20,403,771,505.22
  5. Step 5: Solve for x
    x = 20,403,771,505.22/207,690.75
  6. Step 6: Final answer
    x = 98,241.12

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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.