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Finding the Fourth Proportional to 151,300.80, 208,791.36 and 84,231.36

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Solution

The fourth proportional to 151,300.80, 208,791.36 and 84,231.36 is: 116,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,300.80 : 208,791.36 = 84,231.36 : x
  2. Step 2: Convert to fraction form
    151,300.80/208,791.36 = 84,231.36/x
  3. Step 3: Cross multiply
    151,300.80x = 208,791.36 × 84,231.36
  4. Step 4: Simplify right side
    151,300.80x = 17,586,780,209.05
  5. Step 5: Solve for x
    x = 17,586,780,209.05/151,300.80
  6. Step 6: Final answer
    x = 116,237.19

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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.