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Finding the Fourth Proportional to 203,858.90, 305,653.38 and 97,259.31

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Solution

The fourth proportional to 203,858.90, 305,653.38 and 97,259.31 is: 145,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,858.90 : 305,653.38 = 97,259.31 : x
  2. Step 2: Convert to fraction form
    203,858.90/305,653.38 = 97,259.31/x
  3. Step 3: Cross multiply
    203,858.90x = 305,653.38 × 97,259.31
  4. Step 4: Simplify right side
    203,858.90x = 29,727,636,837.97
  5. Step 5: Solve for x
    x = 29,727,636,837.97/203,858.90
  6. Step 6: Final answer
    x = 145,824.57

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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.