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Finding the Fourth Proportional to 193,894.90, 290,723.28 and 75,428.18

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Solution

The fourth proportional to 193,894.90, 290,723.28 and 75,428.18 is: 113,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.90 : 290,723.28 = 75,428.18 : x
  2. Step 2: Convert to fraction form
    193,894.90/290,723.28 = 75,428.18/x
  3. Step 3: Cross multiply
    193,894.90x = 290,723.28 × 75,428.18
  4. Step 4: Simplify right side
    193,894.90x = 21,928,727,894.03
  5. Step 5: Solve for x
    x = 21,928,727,894.03/193,894.90
  6. Step 6: Final answer
    x = 113,095.95

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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.