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Finding the Fourth Proportional to 207,691.84, 311,537.80 and 65,551.50

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Solution

The fourth proportional to 207,691.84, 311,537.80 and 65,551.50 is: 98,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,691.84 : 311,537.80 = 65,551.50 : x
  2. Step 2: Convert to fraction form
    207,691.84/311,537.80 = 65,551.50/x
  3. Step 3: Cross multiply
    207,691.84x = 311,537.80 × 65,551.50
  4. Step 4: Simplify right side
    207,691.84x = 20,421,770,096.70
  5. Step 5: Solve for x
    x = 20,421,770,096.70/207,691.84
  6. Step 6: Final answer
    x = 98,327.26

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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.