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Finding the Fourth Proportional to 153,902.60, 230,853.90 and 83,918.60

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Solution

The fourth proportional to 153,902.60, 230,853.90 and 83,918.60 is: 125,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.60 : 230,853.90 = 83,918.60 : x
  2. Step 2: Convert to fraction form
    153,902.60/230,853.90 = 83,918.60/x
  3. Step 3: Cross multiply
    153,902.60x = 230,853.90 × 83,918.60
  4. Step 4: Simplify right side
    153,902.60x = 19,372,936,092.54
  5. Step 5: Solve for x
    x = 19,372,936,092.54/153,902.60
  6. Step 6: Final answer
    x = 125,877.90

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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.