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Finding the Fourth Proportional to 193,729.60, 290,637.60 and 75,390.40

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Solution

The fourth proportional to 193,729.60, 290,637.60 and 75,390.40 is: 113,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,729.60 : 290,637.60 = 75,390.40 : x
  2. Step 2: Convert to fraction form
    193,729.60/290,637.60 = 75,390.40/x
  3. Step 3: Cross multiply
    193,729.60x = 290,637.60 × 75,390.40
  4. Step 4: Simplify right side
    193,729.60x = 21,911,284,919.04
  5. Step 5: Solve for x
    x = 21,911,284,919.04/193,729.60
  6. Step 6: Final answer
    x = 113,102.41

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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.