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Finding the Fourth Proportional to 65,180.50, 89,949.10 and 35,372.50

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Solution

The fourth proportional to 65,180.50, 89,949.10 and 35,372.50 is: 48,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.50 : 89,949.10 = 35,372.50 : x
  2. Step 2: Convert to fraction form
    65,180.50/89,949.10 = 35,372.50/x
  3. Step 3: Cross multiply
    65,180.50x = 89,949.10 × 35,372.50
  4. Step 4: Simplify right side
    65,180.50x = 3,181,724,539.75
  5. Step 5: Solve for x
    x = 3,181,724,539.75/65,180.50
  6. Step 6: Final answer
    x = 48,814.06

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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.