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Finding the Fourth Proportional to 101,189.43, 139,640.63 and 55,867.50

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Solution

The fourth proportional to 101,189.43, 139,640.63 and 55,867.50 is: 77,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189.43 : 139,640.63 = 55,867.50 : x
  2. Step 2: Convert to fraction form
    101,189.43/139,640.63 = 55,867.50/x
  3. Step 3: Cross multiply
    101,189.43x = 139,640.63 × 55,867.50
  4. Step 4: Simplify right side
    101,189.43x = 7,801,372,617.19
  5. Step 5: Solve for x
    x = 7,801,372,617.19/101,189.43
  6. Step 6: Final answer
    x = 77,096.71

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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.