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Finding the Fourth Proportional to 66,878.64, 92,302.56 and 40,021.92

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Solution

The fourth proportional to 66,878.64, 92,302.56 and 40,021.92 is: 55,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878.64 : 92,302.56 = 40,021.92 : x
  2. Step 2: Convert to fraction form
    66,878.64/92,302.56 = 40,021.92/x
  3. Step 3: Cross multiply
    66,878.64x = 92,302.56 × 40,021.92
  4. Step 4: Simplify right side
    66,878.64x = 3,694,125,672.12
  5. Step 5: Solve for x
    x = 3,694,125,672.12/66,878.64
  6. Step 6: Final answer
    x = 55,236.26

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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.