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Finding the Fourth Proportional to 159,869.38, 220,704.34 and 103,313.02

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Solution

The fourth proportional to 159,869.38, 220,704.34 and 103,313.02 is: 142,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,869.38 : 220,704.34 = 103,313.02 : x
  2. Step 2: Convert to fraction form
    159,869.38/220,704.34 = 103,313.02/x
  3. Step 3: Cross multiply
    159,869.38x = 220,704.34 × 103,313.02
  4. Step 4: Simplify right side
    159,869.38x = 22,801,631,892.51
  5. Step 5: Solve for x
    x = 22,801,631,892.51/159,869.38
  6. Step 6: Final answer
    x = 142,626.64

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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.