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Finding the Fourth Proportional to 72,065.53, 108,164.75 and 36,551.78

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Solution

The fourth proportional to 72,065.53, 108,164.75 and 36,551.78 is: 54,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065.53 : 108,164.75 = 36,551.78 : x
  2. Step 2: Convert to fraction form
    72,065.53/108,164.75 = 36,551.78/x
  3. Step 3: Cross multiply
    72,065.53x = 108,164.75 × 36,551.78
  4. Step 4: Simplify right side
    72,065.53x = 3,953,613,422.17
  5. Step 5: Solve for x
    x = 3,953,613,422.17/72,065.53
  6. Step 6: Final answer
    x = 54,861.37

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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.