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Finding the Fourth Proportional to 135,783, 187,380.54 and 76,167

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Solution

The fourth proportional to 135,783, 187,380.54 and 76,167 is: 105,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,783 : 187,380.54 = 76,167 : x
  2. Step 2: Convert to fraction form
    135,783/187,380.54 = 76,167/x
  3. Step 3: Cross multiply
    135,783x = 187,380.54 × 76,167
  4. Step 4: Simplify right side
    135,783x = 14,272,213,590.18
  5. Step 5: Solve for x
    x = 14,272,213,590.18/135,783
  6. Step 6: Final answer
    x = 105,110.46

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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.