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Finding the Fourth Proportional to 126,930.78, 190,412.37 and 42,654.78

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Solution

The fourth proportional to 126,930.78, 190,412.37 and 42,654.78 is: 63,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,930.78 : 190,412.37 = 42,654.78 : x
  2. Step 2: Convert to fraction form
    126,930.78/190,412.37 = 42,654.78/x
  3. Step 3: Cross multiply
    126,930.78x = 190,412.37 × 42,654.78
  4. Step 4: Simplify right side
    126,930.78x = 8,121,997,751.63
  5. Step 5: Solve for x
    x = 8,121,997,751.63/126,930.78
  6. Step 6: Final answer
    x = 63,987.61

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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.