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Finding the Fourth Proportional to 65,105.40, 89,845.02 and 36,811.20

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Solution

The fourth proportional to 65,105.40, 89,845.02 and 36,811.20 is: 50,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.40 : 89,845.02 = 36,811.20 : x
  2. Step 2: Convert to fraction form
    65,105.40/89,845.02 = 36,811.20/x
  3. Step 3: Cross multiply
    65,105.40x = 89,845.02 × 36,811.20
  4. Step 4: Simplify right side
    65,105.40x = 3,307,303,000.22
  5. Step 5: Solve for x
    x = 3,307,303,000.22/65,105.40
  6. Step 6: Final answer
    x = 50,799.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.