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Finding the Fourth Proportional to 193,903.84, 290,736.80 and 75,437.28

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Solution

The fourth proportional to 193,903.84, 290,736.80 and 75,437.28 is: 113,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,903.84 : 290,736.80 = 75,437.28 : x
  2. Step 2: Convert to fraction form
    193,903.84/290,736.80 = 75,437.28/x
  3. Step 3: Cross multiply
    193,903.84x = 290,736.80 × 75,437.28
  4. Step 4: Simplify right side
    193,903.84x = 21,932,393,387.90
  5. Step 5: Solve for x
    x = 21,932,393,387.90/193,903.84
  6. Step 6: Final answer
    x = 113,109.64

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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.