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Finding the Fourth Proportional to 66,677, 92,015.34 and 36,869

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Solution

The fourth proportional to 66,677, 92,015.34 and 36,869 is: 50,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,677 : 92,015.34 = 36,869 : x
  2. Step 2: Convert to fraction form
    66,677/92,015.34 = 36,869/x
  3. Step 3: Cross multiply
    66,677x = 92,015.34 × 36,869
  4. Step 4: Simplify right side
    66,677x = 3,392,513,570.46
  5. Step 5: Solve for x
    x = 3,392,513,570.46/66,677
  6. Step 6: Final answer
    x = 50,879.82

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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.