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Finding the Fourth Proportional to 193,820.70, 290,740.65 and 100,508.70

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Solution

The fourth proportional to 193,820.70, 290,740.65 and 100,508.70 is: 150,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,820.70 : 290,740.65 = 100,508.70 : x
  2. Step 2: Convert to fraction form
    193,820.70/290,740.65 = 100,508.70/x
  3. Step 3: Cross multiply
    193,820.70x = 290,740.65 × 100,508.70
  4. Step 4: Simplify right side
    193,820.70x = 29,221,964,768.66
  5. Step 5: Solve for x
    x = 29,221,964,768.66/193,820.70
  6. Step 6: Final answer
    x = 150,768.03

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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.