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Finding the Fourth Proportional to 193,911.72, 290,874.08 and 53,658.60

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Solution

The fourth proportional to 193,911.72, 290,874.08 and 53,658.60 is: 80,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,911.72 : 290,874.08 = 53,658.60 : x
  2. Step 2: Convert to fraction form
    193,911.72/290,874.08 = 53,658.60/x
  3. Step 3: Cross multiply
    193,911.72x = 290,874.08 × 53,658.60
  4. Step 4: Simplify right side
    193,911.72x = 15,607,895,909.09
  5. Step 5: Solve for x
    x = 15,607,895,909.09/193,911.72
  6. Step 6: Final answer
    x = 80,489.70

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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.