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Finding the Fourth Proportional to 66,466.78, 91,725.66 and 37,781.92

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Solution

The fourth proportional to 66,466.78, 91,725.66 and 37,781.92 is: 52,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466.78 : 91,725.66 = 37,781.92 : x
  2. Step 2: Convert to fraction form
    66,466.78/91,725.66 = 37,781.92/x
  3. Step 3: Cross multiply
    66,466.78x = 91,725.66 × 37,781.92
  4. Step 4: Simplify right side
    66,466.78x = 3,465,571,548.07
  5. Step 5: Solve for x
    x = 3,465,571,548.07/66,466.78
  6. Step 6: Final answer
    x = 52,139.90

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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.