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Finding the Fourth Proportional to 126,384, 174,460.80 and 86,138.43

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Solution

The fourth proportional to 126,384, 174,460.80 and 86,138.43 is: 118,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,384 : 174,460.80 = 86,138.43 : x
  2. Step 2: Convert to fraction form
    126,384/174,460.80 = 86,138.43/x
  3. Step 3: Cross multiply
    126,384x = 174,460.80 × 86,138.43
  4. Step 4: Simplify right side
    126,384x = 15,027,779,408.54
  5. Step 5: Solve for x
    x = 15,027,779,408.54/126,384
  6. Step 6: Final answer
    x = 118,905.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.