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Finding the Fourth Proportional to 66,993.12, 92,453.44 and 40,140

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Solution

The fourth proportional to 66,993.12, 92,453.44 and 40,140 is: 55,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,993.12 : 92,453.44 = 40,140 : x
  2. Step 2: Convert to fraction form
    66,993.12/92,453.44 = 40,140/x
  3. Step 3: Cross multiply
    66,993.12x = 92,453.44 × 40,140
  4. Step 4: Simplify right side
    66,993.12x = 3,711,081,081.60
  5. Step 5: Solve for x
    x = 3,711,081,081.60/66,993.12
  6. Step 6: Final answer
    x = 55,394.96

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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.