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Finding the Fourth Proportional to 193,679.39, 290,535.81 and 53,438.02

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Solution

The fourth proportional to 193,679.39, 290,535.81 and 53,438.02 is: 80,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,679.39 : 290,535.81 = 53,438.02 : x
  2. Step 2: Convert to fraction form
    193,679.39/290,535.81 = 53,438.02/x
  3. Step 3: Cross multiply
    193,679.39x = 290,535.81 × 53,438.02
  4. Step 4: Simplify right side
    193,679.39x = 15,525,656,972.82
  5. Step 5: Solve for x
    x = 15,525,656,972.82/193,679.39
  6. Step 6: Final answer
    x = 80,161.64

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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.