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Finding the Fourth Proportional to 66,871.84, 92,284.16 and 40,015.48

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Solution

The fourth proportional to 66,871.84, 92,284.16 and 40,015.48 is: 55,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,871.84 : 92,284.16 = 40,015.48 : x
  2. Step 2: Convert to fraction form
    66,871.84/92,284.16 = 40,015.48/x
  3. Step 3: Cross multiply
    66,871.84x = 92,284.16 × 40,015.48
  4. Step 4: Simplify right side
    66,871.84x = 3,692,794,958.80
  5. Step 5: Solve for x
    x = 3,692,794,958.80/66,871.84
  6. Step 6: Final answer
    x = 55,221.97

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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.