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Finding the Fourth Proportional to 66,689.92, 92,028.48 and 36,880

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Solution

The fourth proportional to 66,689.92, 92,028.48 and 36,880 is: 50,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,689.92 : 92,028.48 = 36,880 : x
  2. Step 2: Convert to fraction form
    66,689.92/92,028.48 = 36,880/x
  3. Step 3: Cross multiply
    66,689.92x = 92,028.48 × 36,880
  4. Step 4: Simplify right side
    66,689.92x = 3,394,010,342.40
  5. Step 5: Solve for x
    x = 3,394,010,342.40/66,689.92
  6. Step 6: Final answer
    x = 50,892.40

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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.