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Finding the Fourth Proportional to 193,937.40, 290,903.49 and 75,691.80

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Solution

The fourth proportional to 193,937.40, 290,903.49 and 75,691.80 is: 113,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,937.40 : 290,903.49 = 75,691.80 : x
  2. Step 2: Convert to fraction form
    193,937.40/290,903.49 = 75,691.80/x
  3. Step 3: Cross multiply
    193,937.40x = 290,903.49 × 75,691.80
  4. Step 4: Simplify right side
    193,937.40x = 22,019,008,784.38
  5. Step 5: Solve for x
    x = 22,019,008,784.38/193,937.40
  6. Step 6: Final answer
    x = 113,536.68

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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.