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Finding the Fourth Proportional to 135,828, 187,444.08 and 76,212

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Solution

The fourth proportional to 135,828, 187,444.08 and 76,212 is: 105,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828 : 187,444.08 = 76,212 : x
  2. Step 2: Convert to fraction form
    135,828/187,444.08 = 76,212/x
  3. Step 3: Cross multiply
    135,828x = 187,444.08 × 76,212
  4. Step 4: Simplify right side
    135,828x = 14,285,488,224.96
  5. Step 5: Solve for x
    x = 14,285,488,224.96/135,828
  6. Step 6: Final answer
    x = 105,173.37

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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.