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Finding the Fourth Proportional to 66,980.46, 92,432.76 and 36,765

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Solution

The fourth proportional to 66,980.46, 92,432.76 and 36,765 is: 50,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980.46 : 92,432.76 = 36,765 : x
  2. Step 2: Convert to fraction form
    66,980.46/92,432.76 = 36,765/x
  3. Step 3: Cross multiply
    66,980.46x = 92,432.76 × 36,765
  4. Step 4: Simplify right side
    66,980.46x = 3,398,290,421.40
  5. Step 5: Solve for x
    x = 3,398,290,421.40/66,980.46
  6. Step 6: Final answer
    x = 50,735.55

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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.