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Finding the Fourth Proportional to 66,750, 92,115.27 and 36,942

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Solution

The fourth proportional to 66,750, 92,115.27 and 36,942 is: 50,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,750 : 92,115.27 = 36,942 : x
  2. Step 2: Convert to fraction form
    66,750/92,115.27 = 36,942/x
  3. Step 3: Cross multiply
    66,750x = 92,115.27 × 36,942
  4. Step 4: Simplify right side
    66,750x = 3,402,922,304.34
  5. Step 5: Solve for x
    x = 3,402,922,304.34/66,750
  6. Step 6: Final answer
    x = 50,980.11

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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.