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Finding the Fourth Proportional to 147,418.71, 203,438.42 and 83,760

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Solution

The fourth proportional to 147,418.71, 203,438.42 and 83,760 is: 115,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,418.71 : 203,438.42 = 83,760 : x
  2. Step 2: Convert to fraction form
    147,418.71/203,438.42 = 83,760/x
  3. Step 3: Cross multiply
    147,418.71x = 203,438.42 × 83,760
  4. Step 4: Simplify right side
    147,418.71x = 17,040,002,059.20
  5. Step 5: Solve for x
    x = 17,040,002,059.20/147,418.71
  6. Step 6: Final answer
    x = 115,589.14

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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.