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Finding the Fourth Proportional to 207,396.60, 311,017.14 and 89,007

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Solution

The fourth proportional to 207,396.60, 311,017.14 and 89,007 is: 133,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,396.60 : 311,017.14 = 89,007 : x
  2. Step 2: Convert to fraction form
    207,396.60/311,017.14 = 89,007/x
  3. Step 3: Cross multiply
    207,396.60x = 311,017.14 × 89,007
  4. Step 4: Simplify right side
    207,396.60x = 27,682,702,579.98
  5. Step 5: Solve for x
    x = 27,682,702,579.98/207,396.60
  6. Step 6: Final answer
    x = 133,477.13

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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.