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Finding the Fourth Proportional to 147,419.71, 203,439.80 and 83,761

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Solution

The fourth proportional to 147,419.71, 203,439.80 and 83,761 is: 115,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,419.71 : 203,439.80 = 83,761 : x
  2. Step 2: Convert to fraction form
    147,419.71/203,439.80 = 83,761/x
  3. Step 3: Cross multiply
    147,419.71x = 203,439.80 × 83,761
  4. Step 4: Simplify right side
    147,419.71x = 17,040,321,087.80
  5. Step 5: Solve for x
    x = 17,040,321,087.80/147,419.71
  6. Step 6: Final answer
    x = 115,590.52

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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.