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Finding the Fourth Proportional to 193,806.90, 290,591.28 and 75,340.15

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Solution

The fourth proportional to 193,806.90, 290,591.28 and 75,340.15 is: 112,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806.90 : 290,591.28 = 75,340.15 : x
  2. Step 2: Convert to fraction form
    193,806.90/290,591.28 = 75,340.15/x
  3. Step 3: Cross multiply
    193,806.90x = 290,591.28 × 75,340.15
  4. Step 4: Simplify right side
    193,806.90x = 21,893,189,897.41
  5. Step 5: Solve for x
    x = 21,893,189,897.41/193,806.90
  6. Step 6: Final answer
    x = 112,963.93

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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.