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Finding the Fourth Proportional to 135,793, 187,394.34 and 76,177

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Solution

The fourth proportional to 135,793, 187,394.34 and 76,177 is: 105,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,793 : 187,394.34 = 76,177 : x
  2. Step 2: Convert to fraction form
    135,793/187,394.34 = 76,177/x
  3. Step 3: Cross multiply
    135,793x = 187,394.34 × 76,177
  4. Step 4: Simplify right side
    135,793x = 14,275,138,638.18
  5. Step 5: Solve for x
    x = 14,275,138,638.18/135,793
  6. Step 6: Final answer
    x = 105,124.26

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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.