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Finding the Fourth Proportional to 76,185, 114,277.77 and 20,781

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Solution

The fourth proportional to 76,185, 114,277.77 and 20,781 is: 31,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,185 : 114,277.77 = 20,781 : x
  2. Step 2: Convert to fraction form
    76,185/114,277.77 = 20,781/x
  3. Step 3: Cross multiply
    76,185x = 114,277.77 × 20,781
  4. Step 4: Simplify right side
    76,185x = 2,374,806,338.37
  5. Step 5: Solve for x
    x = 2,374,806,338.37/76,185
  6. Step 6: Final answer
    x = 31,171.57

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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.