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Finding the Fourth Proportional to 207,638.40, 311,342.40 and 89,289.60

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Solution

The fourth proportional to 207,638.40, 311,342.40 and 89,289.60 is: 133,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,638.40 : 311,342.40 = 89,289.60 : x
  2. Step 2: Convert to fraction form
    207,638.40/311,342.40 = 89,289.60/x
  3. Step 3: Cross multiply
    207,638.40x = 311,342.40 × 89,289.60
  4. Step 4: Simplify right side
    207,638.40x = 27,799,638,359.04
  5. Step 5: Solve for x
    x = 27,799,638,359.04/207,638.40
  6. Step 6: Final answer
    x = 133,884.86

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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.