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Finding the Fourth Proportional to 193,498.35, 290,135.77 and 75,031.30

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Solution

The fourth proportional to 193,498.35, 290,135.77 and 75,031.30 is: 112,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,498.35 : 290,135.77 = 75,031.30 : x
  2. Step 2: Convert to fraction form
    193,498.35/290,135.77 = 75,031.30/x
  3. Step 3: Cross multiply
    193,498.35x = 290,135.77 × 75,031.30
  4. Step 4: Simplify right side
    193,498.35x = 21,769,263,999.60
  5. Step 5: Solve for x
    x = 21,769,263,999.60/193,498.35
  6. Step 6: Final answer
    x = 112,503.62

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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.